{"id":14078,"date":"2024-01-04T01:15:24","date_gmt":"2024-01-03T21:45:24","guid":{"rendered":"https:\/\/rasanegar.com\/blog\/%d9%86%d9%85%d8%a7%d8%af%da%af%d8%b0%d8%a7%d8%b1%db%8c-big-o-%d9%88-%d8%aa%d8%ac%d8%b2%db%8c%d9%87-%d9%88-%d8%aa%d8%ad%d9%84%db%8c%d9%84-%d8%a7%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa%d9%85-%d8%a8%d8%a7\/"},"modified":"2024-01-04T01:15:24","modified_gmt":"2024-01-03T21:45:24","slug":"%d9%86%d9%85%d8%a7%d8%af%da%af%d8%b0%d8%a7%d8%b1%db%8c-big-o-%d9%88-%d8%aa%d8%ac%d8%b2%db%8c%d9%87-%d9%88-%d8%aa%d8%ad%d9%84%db%8c%d9%84-%d8%a7%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa%d9%85-%d8%a8%d8%a7","status":"publish","type":"post","link":"https:\/\/rasanegaar.com\/blog\/%d9%86%d9%85%d8%a7%d8%af%da%af%d8%b0%d8%a7%d8%b1%db%8c-big-o-%d9%88-%d8%aa%d8%ac%d8%b2%db%8c%d9%87-%d9%88-%d8%aa%d8%ad%d9%84%db%8c%d9%84-%d8%a7%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa%d9%85-%d8%a8%d8%a7\/","title":{"rendered":"\u0646\u0645\u0627\u062f\u06af\u0630\u0627\u0631\u06cc Big O \u0648 \u062a\u062c\u0632\u06cc\u0647 \u0648 \u062a\u062d\u0644\u06cc\u0644 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0628\u0627 \u0645\u062b\u0627\u0644 \u0647\u0627\u06cc \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%86%d9%85%d8%a7%d8%af%da%af%d8%b0%d8%a7%d8%b1%db%8c-big-o-%d9%88-%d8%aa%d8%ac%d8%b2%db%8c%d9%87-%d9%88-%d8%aa%d8%ad%d9%84%db%8c%d9%84-%d8%a7%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa%d9%85-%d8%a8%d8%a7\/#%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%86%d9%85%d8%a7%d8%af%da%af%d8%b0%d8%a7%d8%b1%db%8c-big-o-%d9%88-%d8%aa%d8%ac%d8%b2%db%8c%d9%87-%d9%88-%d8%aa%d8%ad%d9%84%db%8c%d9%84-%d8%a7%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa%d9%85-%d8%a8%d8%a7\/#%da%86%d8%b1%d8%a7_%d8%aa%d8%ad%d9%84%db%8c%d9%84_%d8%a7%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa%d9%85_%d9%85%d9%87%d9%85_%d8%a7%d8%b3%d8%aa%d8%9f\" >\u0686\u0631\u0627 \u062a\u062d\u0644\u06cc\u0644 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0645\u0647\u0645 \u0627\u0633\u062a\u061f<\/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%86%d9%85%d8%a7%d8%af%da%af%d8%b0%d8%a7%d8%b1%db%8c-big-o-%d9%88-%d8%aa%d8%ac%d8%b2%db%8c%d9%87-%d9%88-%d8%aa%d8%ad%d9%84%db%8c%d9%84-%d8%a7%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa%d9%85-%d8%a8%d8%a7\/#%d8%aa%d8%ac%d8%b2%db%8c%d9%87_%d9%88_%d8%aa%d8%ad%d9%84%db%8c%d9%84_%d8%a7%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa%d9%85_%d8%a8%d8%a7_%d8%b9%d9%84%d8%a7%d9%85%d8%aa_%da%af%d8%b0%d8%a7%d8%b1%db%8c_big-o\" >\u062a\u062c\u0632\u06cc\u0647 \u0648 \u062a\u062d\u0644\u06cc\u0644 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0628\u0627 \u0639\u0644\u0627\u0645\u062a \u06af\u0630\u0627\u0631\u06cc Big-O<\/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%86%d9%85%d8%a7%d8%af%da%af%d8%b0%d8%a7%d8%b1%db%8c-big-o-%d9%88-%d8%aa%d8%ac%d8%b2%db%8c%d9%87-%d9%88-%d8%aa%d8%ad%d9%84%db%8c%d9%84-%d8%a7%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa%d9%85-%d8%a8%d8%a7\/#%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\"> 9<\/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>\u0645\u0639\u0645\u0648\u0644\u0627 \u0686\u0646\u062f\u06cc\u0646 \u0631\u0627\u0647 \u0628\u0631\u0627\u06cc \u062d\u0644 \u0645\u0634\u06a9\u0644 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u06cc\u06a9 \u0628\u0631\u0646\u0627\u0645\u0647 \u06a9\u0627\u0645\u067e\u06cc\u0648\u062a\u0631\u06cc \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f.  \u0628\u0631\u0627\u06cc \u0645\u062b\u0627\u0644\u060c \u0686\u0646\u062f\u06cc\u0646 \u0631\u0648\u0634 \u0628\u0631\u0627\u06cc \u0645\u0631\u062a\u0628\u200c\u0633\u0627\u0632\u06cc \u0622\u06cc\u062a\u0645\u200c\u0647\u0627 \u062f\u0631 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f &#8211; \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u062f \u0627\u0632 \u0645\u0631\u062a\u0628\u200c\u0633\u0627\u0632\u06cc \u0627\u062f\u063a\u0627\u0645\u060c \u0645\u0631\u062a\u0628\u200c\u0633\u0627\u0632\u06cc \u062d\u0628\u0627\u0628\u06cc\u060c \u0645\u0631\u062a\u0628\u200c\u0633\u0627\u0632\u06cc \u062f\u0631\u062c \u0648 \u063a\u06cc\u0631\u0647 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f. \u0631\u0648\u06cc.  \u0647\u0645\u0647 \u0627\u06cc\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0627 \u0645\u0632\u0627\u06cc\u0627 \u0648 \u0645\u0639\u0627\u06cc\u0628 \u062e\u0627\u0635 \u062e\u0648\u062f \u0631\u0627 \u062f\u0627\u0631\u0646\u062f \u0648 \u0648\u0638\u06cc\u0641\u0647 \u062a\u0648\u0633\u0639\u0647 \u062f\u0647\u0646\u062f\u0647 \u0627\u06cc\u0646 \u0627\u0633\u062a \u06a9\u0647 \u0622\u0646\u0647\u0627 \u0631\u0627 \u0648\u0632\u0646 \u06a9\u0646\u062f \u062a\u0627 \u0628\u062a\u0648\u0627\u0646\u062f \u0628\u0647\u062a\u0631\u06cc\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u062f\u0631 \u0647\u0631 \u0645\u0648\u0631\u062f\u06cc \u0627\u0646\u062a\u062e\u0627\u0628 \u06a9\u0646\u062f.  \u0628\u0647 \u0639\u0628\u0627\u0631\u062a \u062f\u06cc\u06af\u0631\u060c \u0633\u0648\u0627\u0644 \u0627\u0635\u0644\u06cc \u0627\u06cc\u0646 \u0627\u0633\u062a <em>\u0627\u0632 \u06a9\u062f\u0627\u0645 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0628\u0631\u0627\u06cc \u062d\u0644 \u06cc\u06a9 \u0645\u0633\u0626\u0644\u0647 \u062e\u0627\u0635 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f<\/em> \u0632\u0645\u0627\u0646\u06cc \u06a9\u0647 \u0686\u0646\u062f\u06cc\u0646 \u0631\u0627\u0647 \u062d\u0644 \u0628\u0631\u0627\u06cc \u0645\u0634\u06a9\u0644 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f.<\/p>\n<p><em>\u062a\u062d\u0644\u06cc\u0644 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645<\/em> \u0628\u0647 \u062a\u062c\u0632\u06cc\u0647 \u0648 \u062a\u062d\u0644\u06cc\u0644 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641 \u0648 \u06cc\u0627\u0641\u062a\u0646 \u06a9\u0627\u0631\u0622\u0645\u062f\u062a\u0631\u06cc\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0628\u0631\u0627\u06cc \u062d\u0644 \u0645\u0633\u0626\u0644\u0647 \u062f\u0631 \u062f\u0633\u062a \u0627\u0634\u0627\u0631\u0647 \u062f\u0627\u0631\u062f. <em>\u0646\u0645\u0627\u062f Big-O<\/em> \u0647\u0633\u062a \u06cc\u06a9 <em>\u0627\u0646\u062f\u0627\u0632\u0647 \u06af\u06cc\u0631\u06cc \u0622\u0645\u0627\u0631\u06cc \u0645\u0648\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0628\u0631\u0627\u06cc \u062a\u0648\u0635\u06cc\u0641 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645<\/em>.<\/p>\n<blockquote>\n<p>\u062f\u0631 \u0627\u06cc\u0646 \u0631\u0627\u0647\u0646\u0645\u0627\u060c \u0627\u0628\u062a\u062f\u0627 \u0645\u0631\u0648\u0631\u06cc \u06a9\u0648\u062a\u0627\u0647 \u0628\u0631 \u062a\u062d\u0644\u06cc\u0644 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u062e\u0648\u0627\u0647\u06cc\u0645 \u062f\u0627\u0634\u062a \u0648 \u0633\u067e\u0633 \u0646\u06af\u0627\u0647\u06cc \u0639\u0645\u06cc\u0642\u200c\u062a\u0631 \u0628\u0647 \u0646\u0645\u0627\u062f Big-O \u062e\u0648\u0627\u0647\u06cc\u0645 \u062f\u0627\u0634\u062a.  \u062e\u0648\u0627\u0647\u06cc\u0645 \u062f\u06cc\u062f \u06a9\u0647 \u0686\u06af\u0648\u0646\u0647 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0627\u0632 \u0646\u0645\u0627\u062f Big-O \u0628\u0631\u0627\u06cc \u06cc\u0627\u0641\u062a\u0646 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0628\u0627 \u06a9\u0645\u06a9 \u062a\u0648\u0627\u0628\u0639 \u0645\u062e\u062a\u0644\u0641 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0631\u062f.<\/p>\n<\/blockquote>\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> \u0646\u0645\u0627\u062f Big-O \u06cc\u06a9\u06cc \u0627\u0632 \u0645\u0639\u06cc\u0627\u0631\u0647\u0627\u06cc\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0628\u0631\u0627\u06cc \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f.  \u0628\u0631\u062e\u06cc \u062f\u06cc\u06af\u0631 \u0634\u0627\u0645\u0644 \u0628\u06cc\u06af \u062a\u062a\u0627 \u0648 \u0628\u06cc\u06af \u0627\u0645\u06af\u0627 \u0647\u0633\u062a\u0646\u062f.  Big-Omega\u060c Big-Theta \u0648 Big-O \u0628\u0647 \u0637\u0648\u0631 \u0634\u0647\u0648\u062f\u06cc \u0628\u0631\u0627\u0628\u0631 \u0647\u0633\u062a\u0646\u062f <strong>\u0628\u0647\u062a\u0631\u06cc\u0646<\/strong>\u060c <strong>\u0645\u06cc\u0627\u0646\u06af\u06cc\u0646<\/strong>\u060c \u0648 <strong>\u0628\u062f\u062a\u0631\u06cc\u0646<\/strong> \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0632\u0645\u0627\u0646\u06cc \u06a9\u0647 \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u0628\u0647 \u0622\u0646 \u062f\u0633\u062a \u06cc\u0627\u0628\u062f.  \u0645\u0627 \u0645\u0639\u0645\u0648\u0644\u0627\u064b \u0628\u0647 \u062c\u0627\u06cc \u062f\u0648 \u0645\u0648\u0631\u062f \u062f\u06cc\u06af\u0631 \u0627\u0632 Big-O \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u06cc\u06a9 \u0645\u0639\u06cc\u0627\u0631 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u06cc\u0645\u060c \u0632\u06cc\u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u062a\u0636\u0645\u06cc\u0646 \u06a9\u0646\u062f \u06a9\u0647 \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u062f\u0631 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0642\u0627\u0628\u0644 \u0642\u0628\u0648\u0644\u06cc \u0627\u062c\u0631\u0627 \u0645\u06cc \u0634\u0648\u062f. <em>\u0628\u062f\u062a\u0631\u06cc\u0646<\/em> \u062f\u0631 \u062d\u0627\u0644\u062a \u0645\u062a\u0648\u0633\u0637 \u200b\u200b\u0648 \u0628\u0647\u062a\u0631\u06cc\u0646 \u062d\u0627\u0644\u062a \u0646\u06cc\u0632 \u06a9\u0627\u0631 \u062e\u0648\u0627\u0647\u062f \u06a9\u0631\u062f\u060c \u0627\u0645\u0627 \u0628\u0631\u0639\u06a9\u0633 \u0646\u0647.<\/p>\n<\/p><\/div><\/div><\/div>\n<h3 id=\"whyisalgorithmanalysisimportant\"><span class=\"ez-toc-section\" id=\"%da%86%d8%b1%d8%a7_%d8%aa%d8%ad%d9%84%db%8c%d9%84_%d8%a7%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa%d9%85_%d9%85%d9%87%d9%85_%d8%a7%d8%b3%d8%aa%d8%9f\"><\/span>\u0686\u0631\u0627 \u062a\u062d\u0644\u06cc\u0644 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0645\u0647\u0645 \u0627\u0633\u062a\u061f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u0628\u0631\u0627\u06cc \u062f\u0631\u06a9 \u0627\u06cc\u0646\u06a9\u0647 \u0686\u0631\u0627 \u062a\u062d\u0644\u06cc\u0644 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0645\u0647\u0645 \u0627\u0633\u062a\u060c \u0627\u0632 \u06cc\u06a9 \u0645\u062b\u0627\u0644 \u0633\u0627\u062f\u0647 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u06cc\u0645.  \u0641\u0631\u0636 \u06a9\u0646\u06cc\u062f \u0645\u062f\u06cc\u0631\u06cc \u0628\u0647 \u062f\u0648 \u0646\u0641\u0631 \u0627\u0632 \u06a9\u0627\u0631\u0645\u0646\u062f\u0627\u0646 \u062e\u0648\u062f \u0648\u0638\u06cc\u0641\u0647 \u0645\u06cc \u062f\u0647\u062f \u062a\u0627 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u06cc \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0637\u0631\u0627\u062d\u06cc \u06a9\u0646\u0646\u062f \u06a9\u0647 \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0646\u062f. <em>\u0641\u0627\u06a9\u062a\u0648\u0631\u06cc\u0644<\/em> \u06cc\u06a9 \u0639\u062f\u062f \u0648\u0627\u0631\u062f \u0634\u062f\u0647 \u062a\u0648\u0633\u0637 \u06a9\u0627\u0631\u0628\u0631  \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u062a\u0648\u0633\u0639\u0647 \u06cc\u0627\u0641\u062a\u0647 \u062a\u0648\u0633\u0637 \u0627\u0648\u0644\u06cc\u0646 \u06a9\u0627\u0631\u0645\u0646\u062f \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u0627\u0633\u062a:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">fact<\/span>(<span class=\"hljs-params\">n<\/span>):<\/span>\n    product = <span class=\"hljs-number\">1<\/span>\n    <span class=\"hljs-keyword\">for<\/span> i <span class=\"hljs-keyword\">in<\/span> <span class=\"hljs-built_in\">range<\/span>(n):\n        product = product * (i+<span class=\"hljs-number\">1<\/span>)\n    <span class=\"hljs-keyword\">return<\/span> product\n\n<span class=\"hljs-built_in\">print<\/span>(fact(<span class=\"hljs-number\">5<\/span>))\n<\/code><\/pre>\n<p>\u062a\u0648\u062c\u0647 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u06cc\u062f \u06a9\u0647 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0628\u0647 \u0633\u0627\u062f\u06af\u06cc \u06cc\u06a9 \u0639\u062f\u062f \u0635\u062d\u06cc\u062d \u0631\u0627 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0622\u0631\u06af\u0648\u0645\u0627\u0646 \u0645\u06cc \u06af\u06cc\u0631\u062f.  \u062f\u0631\u0648\u0646 <code>fact()<\/code> \u062a\u0627\u0628\u0639 \u0645\u062a\u063a\u06cc\u0631\u06cc \u0628\u0647 \u0646\u0627\u0645 <code>product<\/code> \u0628\u0647 \u0645\u0642\u062f\u0627\u0631 \u062f\u0647\u06cc \u0627\u0648\u0644\u06cc\u0647 \u0645\u06cc \u0634\u0648\u062f <code>1<\/code>.  \u06cc\u06a9 \u062d\u0644\u0642\u0647 \u0627\u0632 <code>1<\/code> \u0628\u0647 <code>n<\/code> \u0648 \u062f\u0631 \u0637\u0648\u0644 \u0647\u0631 \u062a\u06a9\u0631\u0627\u0631\u060c \u0645\u0642\u062f\u0627\u0631 \u062f\u0631 <code>product<\/code> \u062f\u0631 \u0639\u062f\u062f\u06cc \u06a9\u0647 \u062a\u0648\u0633\u0637 \u062d\u0644\u0642\u0647 \u062a\u06a9\u0631\u0627\u0631 \u0645\u06cc \u0634\u0648\u062f \u0636\u0631\u0628 \u0645\u06cc \u0634\u0648\u062f \u0648 \u0646\u062a\u06cc\u062c\u0647 \u062f\u0631 \u0622\u0646 \u0630\u062e\u06cc\u0631\u0647 \u0645\u06cc \u0634\u0648\u062f <code>product<\/code> \u062f\u0648\u0628\u0627\u0631\u0647 \u0645\u062a\u063a\u06cc\u0631  \u067e\u0633 \u0627\u0632 \u0627\u062c\u0631\u0627\u06cc \u062d\u0644\u0642\u0647\u060c <code>product<\/code> \u0645\u062a\u063a\u06cc\u0631 \u062d\u0627\u0648\u06cc \u0641\u0627\u06a9\u062a\u0648\u0631\u06cc\u0644 \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f.<\/p>\n<p>\u0628\u0647 \u0637\u0648\u0631 \u0645\u0634\u0627\u0628\u0647\u060c \u06a9\u0627\u0631\u0645\u0646\u062f \u062f\u0648\u0645 \u0646\u06cc\u0632 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u06cc \u0631\u0627 \u062a\u0648\u0633\u0639\u0647 \u062f\u0627\u062f \u06a9\u0647 \u0641\u0627\u06a9\u062a\u0648\u0631\u06cc\u0644 \u06cc\u06a9 \u0639\u062f\u062f \u0631\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc \u06a9\u0646\u062f.  \u06a9\u0627\u0631\u0645\u0646\u062f \u062f\u0648\u0645 \u0627\u0632 \u06cc\u06a9 \u062a\u0627\u0628\u0639 \u0628\u0627\u0632\u06af\u0634\u062a\u06cc \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0641\u0627\u06a9\u062a\u0648\u0631\u06cc\u0644 \u0639\u062f\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0631\u062f <code>n<\/code>:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">fact2<\/span>(<span class=\"hljs-params\">n<\/span>):<\/span>\n    <span class=\"hljs-keyword\">if<\/span> n == <span class=\"hljs-number\">0<\/span>:\n        <span class=\"hljs-keyword\">return<\/span> <span class=\"hljs-number\">1<\/span>\n    <span class=\"hljs-keyword\">else<\/span>:\n        <span class=\"hljs-keyword\">return<\/span> n * fact2(n-<span class=\"hljs-number\">1<\/span>)\n\n<span class=\"hljs-built_in\">print<\/span>(fact2(<span class=\"hljs-number\">5<\/span>))\n<\/code><\/pre>\n<p>\u0645\u062f\u06cc\u0631 \u0628\u0627\u06cc\u062f \u062a\u0635\u0645\u06cc\u0645 \u0628\u06af\u06cc\u0631\u062f \u06a9\u0647 \u0627\u0632 \u06a9\u062f\u0627\u0645 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u062f.  \u0628\u0631\u0627\u06cc \u0627\u0646\u062c\u0627\u0645 \u0627\u06cc\u0646 \u06a9\u0627\u0631\u060c \u0622\u0646\u0647\u0627 \u062a\u0635\u0645\u06cc\u0645 \u06af\u0631\u0641\u062a\u0647 \u0627\u0646\u062f \u0627\u0646\u062a\u062e\u0627\u0628 \u06a9\u0646\u0646\u062f \u06a9\u0647 \u06a9\u062f\u0627\u0645 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0633\u0631\u06cc\u0639\u062a\u0631 \u0627\u062c\u0631\u0627 \u0634\u0648\u062f.  \u06cc\u06a9\u06cc \u0627\u0632 \u0631\u0627\u0647\u200c\u0647\u0627\u06cc \u0627\u0646\u062c\u0627\u0645 \u0627\u06cc\u0646 \u06a9\u0627\u0631\u060c \u06cc\u0627\u0641\u062a\u0646 \u0632\u0645\u0627\u0646 \u0644\u0627\u0632\u0645 \u0628\u0631\u0627\u06cc \u0627\u062c\u0631\u0627\u06cc \u06a9\u062f \u0627\u0633\u062a \u0631\u0648\u06cc \u0647\u0645\u0627\u0646 \u0648\u0631\u0648\u062f\u06cc<\/p>\n<p>\u062f\u0631 Jupyter \u0646\u0648\u062a \u0628\u0648\u06a9\u060c \u0634\u0645\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f <code>%timeit<\/code> \u062a\u062d\u062a \u0627\u0644\u0644\u0641\u0638\u06cc \u0628\u0647 \u062f\u0646\u0628\u0627\u0644 \u0641\u0631\u0627\u062e\u0648\u0627\u0646\u06cc \u062a\u0627\u0628\u0639 \u0628\u0631\u0627\u06cc \u06cc\u0627\u0641\u062a\u0646 \u0632\u0645\u0627\u0646 \u0635\u0631\u0641 \u0634\u062f\u0647 \u062a\u0648\u0633\u0637 \u062a\u0627\u0628\u0639 \u0628\u0631\u0627\u06cc \u0627\u062c\u0631\u0627:<\/p>\n<pre><code class=\"hljs\">%timeit fact(<span class=\"hljs-number\">50<\/span>)\n<\/code><\/pre>\n<p>\u0627\u06cc\u0646 \u0628\u0647 \u0645\u0627 \u0645\u06cc \u062f\u0647\u062f:<\/p>\n<pre><code class=\"hljs\">9 \u00b5s \u00b1 405 ns per loop (mean \u00b1 std. dev. of 7 runs, 100000 loops each)\n<\/code><\/pre>\n<p>\u062e\u0631\u0648\u062c\u06cc \u0645\u06cc \u06af\u0648\u06cc\u062f \u06a9\u0647 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0637\u0648\u0644 \u0645\u06cc \u06a9\u0634\u062f <em>9 \u0645\u06cc\u06a9\u0631\u0648\u062b\u0627\u0646\u06cc\u0647<\/em> (\u0628\u0639\u0644\u0627\u0648\u0647\/\u0645\u0646\u0647\u0627\u06cc 45 \u0646\u0627\u0646\u0648\u062b\u0627\u0646\u06cc\u0647) \u062f\u0631 \u0647\u0631 \u062d\u0644\u0642\u0647.<\/p>\n<p>\u0628\u0647 \u0637\u0648\u0631 \u0645\u0634\u0627\u0628\u0647\u060c \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0646\u06cc\u0645 \u06a9\u0647 \u0631\u0648\u0634 \u062f\u0648\u0645 \u0686\u0642\u062f\u0631 \u0632\u0645\u0627\u0646 \u0645\u06cc\u200c\u0628\u0631\u062f \u062a\u0627 \u0627\u062c\u0631\u0627 \u0634\u0648\u062f:<\/p>\n<pre><code class=\"hljs\">%timeit fact2(<span class=\"hljs-number\">50<\/span>)\n<\/code><\/pre>\n<p>\u0627\u06cc\u0646 \u0645\u0646\u062c\u0631 \u0628\u0647:<\/p>\n<pre><code class=\"hljs\">15.7 \u00b5s \u00b1 427 ns per loop (mean \u00b1 std. dev. of 7 runs, 100000 loops each)\n<\/code><\/pre>\n<p>\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u062f\u0648\u0645 \u06a9\u0647 \u0634\u0627\u0645\u0644 \u0628\u0627\u0632\u06af\u0634\u062a \u0627\u0633\u062a <em>15 \u0645\u06cc\u06a9\u0631\u0648\u062b\u0627\u0646\u06cc\u0647<\/em> (\u0628\u0639\u0644\u0627\u0648\u0647\/\u0645\u0646\u0647\u0627\u06cc 427 \u0646\u0627\u0646\u0648\u062b\u0627\u0646\u06cc\u0647).<\/p>\n<p>\u0632\u0645\u0627\u0646 \u0627\u062c\u0631\u0627 \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f \u06a9\u0647 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0627\u0648\u0644 \u062f\u0631 \u0645\u0642\u0627\u06cc\u0633\u0647 \u0628\u0627 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u062f\u0648\u0645 \u0634\u0627\u0645\u0644 \u0628\u0627\u0632\u06af\u0634\u062a \u0633\u0631\u06cc\u0639\u062a\u0631 \u0627\u0633\u062a.  \u0647\u0646\u06af\u0627\u0645 \u0628\u0631\u062e\u0648\u0631\u062f \u0628\u0627 \u0648\u0631\u0648\u062f\u06cc \u0647\u0627\u06cc \u0628\u0632\u0631\u06af\u060c \u062a\u0641\u0627\u0648\u062a \u0639\u0645\u0644\u06a9\u0631\u062f \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u0642\u0627\u0628\u0644 \u062a\u0648\u062c\u0647 \u062a\u0631 \u0634\u0648\u062f.<\/p>\n<p>\u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644\u060c \u0632\u0645\u0627\u0646 \u0627\u062c\u0631\u0627 \u0627\u0633\u062a <em>\u0645\u0639\u06cc\u0627\u0631 \u062e\u0648\u0628\u06cc \u0646\u06cc\u0633\u062a<\/em> \u0628\u0631\u0627\u06cc \u0627\u0646\u062f\u0627\u0632\u0647 \u06af\u06cc\u0631\u06cc \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u060c \u0632\u06cc\u0631\u0627 \u0628\u0647 \u0633\u062e\u062a \u0627\u0641\u0632\u0627\u0631 \u0628\u0633\u062a\u06af\u06cc \u062f\u0627\u0631\u062f. <strong>\u06cc\u06a9 \u0645\u0639\u06cc\u0627\u0631 \u062a\u062d\u0644\u06cc\u0644 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0639\u06cc\u0646\u06cc \u062a\u0631\u06cc \u0628\u0631\u0627\u06cc \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0645\u0648\u0631\u062f \u0646\u06cc\u0627\u0632 \u0627\u0633\u062a.<\/strong><\/p>\n<blockquote>\n<p>\u0627\u06cc\u0646\u062c\u0627\u0633\u062a \u06a9\u0647 <em>\u0646\u0645\u0627\u062f O \u0628\u0632\u0631\u06af<\/em> \u0648\u0627\u0631\u062f \u0628\u0627\u0632\u06cc \u0645\u06cc \u0634\u0648\u062f!<\/p>\n<\/blockquote>\n<h3 id=\"algorithmanalysiswithbigonotation\"><span class=\"ez-toc-section\" id=\"%d8%aa%d8%ac%d8%b2%db%8c%d9%87_%d9%88_%d8%aa%d8%ad%d9%84%db%8c%d9%84_%d8%a7%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa%d9%85_%d8%a8%d8%a7_%d8%b9%d9%84%d8%a7%d9%85%d8%aa_%da%af%d8%b0%d8%a7%d8%b1%db%8c_big-o\"><\/span>\u062a\u062c\u0632\u06cc\u0647 \u0648 \u062a\u062d\u0644\u06cc\u0644 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0628\u0627 \u0639\u0644\u0627\u0645\u062a \u06af\u0630\u0627\u0631\u06cc Big-O<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u0627\u06cc\u0646 <em>\u0646\u0645\u0627\u062f Big-O<\/em> \u0627\u0631\u062a\u0628\u0627\u0637 \u0628\u06cc\u0646 \u0648\u0631\u0648\u062f\u06cc \u0628\u0647 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0648 \u0645\u0631\u0627\u062d\u0644 \u0644\u0627\u0632\u0645 \u0628\u0631\u0627\u06cc \u0627\u062c\u0631\u0627\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0631\u0627 \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f.<\/p>\n<p>\u0628\u0627 \u06cc\u06a9 &#8220;O&#8221; \u0628\u0632\u0631\u06af \u0648 \u0628\u0647 \u062f\u0646\u0628\u0627\u0644 \u067e\u0631\u0627\u0646\u062a\u0632 \u0628\u0627\u0632 \u0648 \u0628\u0633\u062a\u0647 \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f.  \u062f\u0631 \u062f\u0627\u062e\u0644 \u067e\u0631\u0627\u0646\u062a\u0632\u060c \u0631\u0627\u0628\u0637\u0647 \u0628\u06cc\u0646 \u0648\u0631\u0648\u062f\u06cc \u0648 \u0645\u0631\u0627\u062d\u0644 \u0627\u0646\u062c\u0627\u0645 \u0634\u062f\u0647 \u062a\u0648\u0633\u0637 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 &#8220;n&#8221; \u0627\u0631\u0627\u0626\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a.<\/p>\n<blockquote>\n<p>\u0646\u06a9\u062a\u0647 \u06a9\u0644\u06cc\u062f\u06cc \u0627\u06cc\u0646 \u0627\u0633\u062a &#8211; Big-O \u0628\u0647 a \u0639\u0644\u0627\u0642\u0647 \u0627\u06cc \u0646\u062f\u0627\u0631\u062f <em>\u062e\u0627\u0635<\/em> \u0646\u0645\u0648\u0646\u0647 \u0627\u06cc \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u06cc \u0631\u0627 \u0627\u062c\u0631\u0627 \u0645\u06cc \u06a9\u0646\u06cc\u062f\u060c \u0645\u0627\u0646\u0646\u062f <code>fact(50)<\/code>\u060c \u0628\u0644\u06a9\u0647 \u062f\u0631 \u0622\u0646 \u0686\u0642\u062f\u0631 \u062e\u0648\u0628 \u0627\u0633\u062a <em>\u062a\u0631\u0627\u0632\u0648<\/em> \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0648\u0631\u0648\u062f\u06cc \u0641\u0632\u0627\u06cc\u0646\u062f\u0647  \u0627\u06cc\u0646 \u0645\u0639\u06cc\u0627\u0631 \u0628\u0633\u06cc\u0627\u0631 \u0628\u0647\u062a\u0631\u06cc \u0628\u0631\u0627\u06cc \u0627\u0631\u0632\u06cc\u0627\u0628\u06cc \u0646\u0633\u0628\u062a \u0628\u0647 \u0632\u0645\u0627\u0646 \u0645\u0634\u062e\u0635 \u0628\u0631\u0627\u06cc \u06cc\u06a9 \u0646\u0645\u0648\u0646\u0647 \u0648\u0627\u0642\u0639\u06cc \u0627\u0633\u062a!<\/p>\n<\/blockquote>\n<p>\u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644\u060c \u0627\u06af\u0631 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f <em><strong>\u0631\u0627\u0628\u0637\u0647 \u062e\u0637\u06cc<\/strong><\/em>  \u0628\u06cc\u0646 \u0648\u0631\u0648\u062f\u06cc \u0648 \u06af\u0627\u0645\u06cc \u06a9\u0647 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0628\u0631\u0627\u06cc \u062a\u06a9\u0645\u06cc\u0644 \u0627\u062c\u0631\u0627\u06cc \u0622\u0646 \u0628\u0631\u062f\u0627\u0634\u062a\u0647 \u0627\u0633\u062a\u060c \u0646\u0645\u0627\u062f Big-O \u0645\u0648\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0642\u0631\u0627\u0631 \u062e\u0648\u0627\u0647\u062f \u06af\u0631\u0641\u062a. <em>\u0628\u0631)<\/em>.  \u0628\u0647 \u0637\u0648\u0631 \u0645\u0634\u0627\u0628\u0647\u060c \u0646\u0645\u0627\u062f Big-O \u0628\u0631\u0627\u06cc <em><strong>\u062a\u0648\u0627\u0628\u0639 \u062f\u0631\u062c\u0647 \u062f\u0648\u0645<\/strong><\/em>  \u0627\u0633\u062a <em>O (n\u00b2)<\/em>.<\/p>\n<p>\u0628\u0631\u0627\u06cc \u0627\u06cc\u062c\u0627\u062f \u0634\u0647\u0648\u062f:<\/p>\n<ul>\n<li><em>\u0628\u0631)<\/em>: \u062f\u0631 <code>n=1<\/code>\u060c 1 \u0645\u0631\u062d\u0644\u0647 \u0628\u0631\u062f\u0627\u0634\u062a\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a.  \u062f\u0631 <code>n=10<\/code>\u060c 10 \u0645\u0631\u062d\u0644\u0647 \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc \u0634\u0648\u062f.<\/li>\n<li><em>O (n\u00b2)<\/em>: \u062f\u0631 <code>n=1<\/code>\u060c 1 \u0645\u0631\u062d\u0644\u0647 \u0628\u0631\u062f\u0627\u0634\u062a\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a.  \u062f\u0631 <code>n=10<\/code>\u060c 100 \u0642\u062f\u0645 \u0628\u0631\u062f\u0627\u0634\u062a\u0647 \u0645\u06cc \u0634\u0648\u062f.<\/li>\n<\/ul>\n<p>\u062f\u0631 <code>n=1<\/code>\u060c \u0627\u06cc\u0646 \u062f\u0648 \u0647\u0645\u0627\u0646 \u06a9\u0627\u0631 \u0631\u0627 \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc \u062f\u0647\u0646\u062f!  \u0627\u06cc\u0646 \u06cc\u06a9\u06cc \u062f\u06cc\u06af\u0631 \u0627\u0632 \u062f\u0644\u0627\u06cc\u0644 \u0631\u0639\u0627\u06cc\u062a \u0631\u0627\u0628\u0637\u0647 \u0628\u06cc\u0646 \u0648\u0631\u0648\u062f\u06cc \u0648 \u062a\u0639\u062f\u0627\u062f \u0645\u0631\u0627\u062d\u0644 \u0628\u0647 \u0627\u0633\u062a process \u0627\u06cc\u0646 \u0648\u0631\u0648\u062f\u06cc \u0628\u0647\u062a\u0631 \u0627\u0632 \u0627\u0631\u0632\u06cc\u0627\u0628\u06cc \u0639\u0645\u0644\u06a9\u0631\u062f\u0647\u0627 \u0628\u0627 \u0645\u0642\u062f\u0627\u0631\u06cc \u0648\u0631\u0648\u062f\u06cc \u0645\u0634\u062e\u0635 \u0627\u0633\u062a.<\/p>\n<p>\u062f\u0631 \u0632\u06cc\u0631 \u0628\u0631\u062e\u06cc \u0627\u0632 \u0631\u0627\u06cc\u062c \u062a\u0631\u06cc\u0646 \u062a\u0648\u0627\u0628\u0639 Big-O \u0622\u0645\u062f\u0647 \u0627\u0633\u062a:<\/p>\n<table class=\"table table-striped\">\n<tbody>\n<tr>\n<th>\u0646\u0627\u0645<\/th>\n<th>\u0628\u06cc\u06af O<\/th>\n<\/tr>\n<tr>\n<td>\u062b\u0627\u0628\u062a<\/td>\n<td>O(c)<\/td>\n<\/tr>\n<tr>\n<td>\u062e\u0637\u06cc<\/td>\n<td>\u0628\u0631)<\/td>\n<\/tr>\n<tr>\n<td>\u062f\u0631\u062c\u0647 \u062f\u0648\u0645<\/td>\n<td>O (n\u00b2)<\/td>\n<\/tr>\n<tr>\n<td>\u0645\u06a9\u0639\u0628\u06cc<\/td>\n<td>O (n\u00b3)<\/td>\n<\/tr>\n<tr>\n<td>\u0646\u0645\u0627\u06cc\u06cc<\/td>\n<td>O(2)<\/td>\n<\/tr>\n<tr>\n<td>\u0644\u06af\u0627\u0631\u06cc\u062a\u0645\u06cc<\/td>\n<td>O(log(n))<\/td>\n<\/tr>\n<tr>\n<td>\u0648\u0631\u0648\u062f \u0628\u0647 \u0633\u06cc\u0633\u062a\u0645 \u062e\u0637\u06cc<\/td>\n<td>O(nlog(n))<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0627\u06cc\u0646 \u062a\u0648\u0627\u0628\u0639 \u0631\u0627 \u062a\u062c\u0633\u0645 \u06a9\u0631\u062f\u0647 \u0648 \u0622\u0646\u0647\u0627 \u0631\u0627 \u0628\u0627 \u0647\u0645 \u0645\u0642\u0627\u06cc\u0633\u0647 \u06a9\u0646\u06cc\u062f:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/rasanegar.com\/blog\/wp-content\/uploads\/2024\/01\/big-o-notation-and-algorithm-analysis-with-python-examples-1.png\" alt=\"\" title=\"\"><\/p>\n<blockquote>\n<p>\u0628\u0647 \u0637\u0648\u0631 \u06a9\u0644\u06cc &#8211; \u0647\u0631 \u0686\u06cc\u0632\u06cc \u0628\u062f\u062a\u0631 \u0627\u0632 \u062e\u0637\u06cc \u06cc\u06a9 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0628\u062f \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a\u0647 \u0645\u06cc \u0634\u0648\u062f (\u06cc\u0639\u0646\u06cc \u0646\u0627\u06a9\u0627\u0631\u0622\u0645\u062f) \u0648 \u062f\u0631 \u0635\u0648\u0631\u062a \u0627\u0645\u06a9\u0627\u0646 \u0628\u0627\u06cc\u062f \u0627\u0632 \u0622\u0646 \u0627\u062c\u062a\u0646\u0627\u0628 \u06a9\u0631\u062f.  \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u062e\u0637\u06cc \u0645\u0634\u06a9\u0644\u06cc \u0646\u062f\u0627\u0631\u062f \u0648 \u0645\u0639\u0645\u0648\u0644\u0627\u064b \u06cc\u06a9 \u0634\u0631 \u0636\u0631\u0648\u0631\u06cc \u0627\u0633\u062a.  \u0644\u06af\u0627\u0631\u06cc\u062a\u0645\u06cc \u062e\u0648\u0628 \u0627\u0633\u062a.  \u062b\u0627\u0628\u062a \u0634\u06af\u0641\u062a \u0627\u0646\u06af\u06cc\u0632 \u0627\u0633\u062a!<\/p>\n<\/blockquote>\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\u0632 \u0645\u062f\u0644 \u0647\u0627\u06cc Big-O <strong>\u0631\u0648\u0627\u0628\u0637<\/strong> \u0627\u0632 input-to-steps\u060c \u0645\u0627 \u0645\u0639\u0645\u0648\u0644\u0627\u064b \u062b\u0627\u0628\u062a \u0647\u0627 \u0631\u0627 \u0627\u0632 \u0639\u0628\u0627\u0631\u062a \u0647\u0627 \u062d\u0630\u0641 \u0645\u06cc \u06a9\u0646\u06cc\u0645. <code>O(2n)<\/code> \u0647\u0645\u0627\u0646 \u0646\u0648\u0639 \u0631\u0627\u0628\u0637\u0647 \u0627\u0633\u062a \u06a9\u0647 <code>O(n)<\/code> &#8211; \u0647\u0631 \u062f\u0648 \u062e\u0637\u06cc \u0647\u0633\u062a\u0646\u062f\u060c \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u0647\u0631 \u062f\u0648 \u0631\u0627 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0646\u0634\u0627\u0646 \u062f\u0647\u06cc\u0645 <code>O(n)<\/code>.  \u062b\u0627\u0628\u062a \u0647\u0627 \u0631\u0627\u0628\u0637\u0647 \u0631\u0627 \u062a\u063a\u06cc\u06cc\u0631 \u0646\u0645\u06cc \u062f\u0647\u0646\u062f.<\/p>\n<\/p><\/div><\/div><\/div>\n<p>\u0628\u0631\u0627\u06cc \u062f\u0631\u06cc\u0627\u0641\u062a \u0627\u06cc\u062f\u0647 \u0627\u06cc \u0627\u0632 \u0631\u0648\u0634 \u0645\u062d\u0627\u0633\u0628\u0647 Big-O\u060c \u0627\u062c\u0627\u0632\u0647 \u062f\u0647\u06cc\u062f \u0646\u06af\u0627\u0647\u06cc \u0628\u0647 \u0686\u0646\u062f \u0645\u062b\u0627\u0644 \u0627\u0632 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u062b\u0627\u0628\u062a\u060c \u062e\u0637\u06cc \u0648 \u062f\u0631\u062c\u0647 \u062f\u0648\u0645 \u0628\u06cc\u0646\u062f\u0627\u0632\u06cc\u0645.<\/p>\n<h4 id=\"constantcomplexityoc\">\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u062b\u0627\u0628\u062a &#8211; <em>O(C)<\/em><\/h4>\n<p>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u062b\u0627\u0628\u062a \u0627\u0633\u062a \u0627\u06af\u0631 \u0645\u0631\u0627\u062d\u0644 \u0644\u0627\u0632\u0645 \u0628\u0631\u0627\u06cc \u062a\u06a9\u0645\u06cc\u0644 \u0627\u062c\u0631\u0627\u06cc \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0628\u062f\u0648\u0646 \u062a\u0648\u062c\u0647 \u0628\u0647 \u062a\u0639\u062f\u0627\u062f \u0648\u0631\u0648\u062f\u06cc\u200c\u0647\u0627 \u062b\u0627\u0628\u062a \u0628\u0645\u0627\u0646\u062f.  \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u062b\u0627\u0628\u062a \u0628\u0627 \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f <em>O(c)<\/em> \u062c\u0627\u06cc\u06cc \u06a9\u0647 <em>\u062c<\/em> \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u0647\u0631 \u0639\u062f\u062f \u062b\u0627\u0628\u062a\u06cc \u0628\u0627\u0634\u062f.<\/p>\n<p>\u0628\u06cc\u0627\u06cc\u06cc\u062f \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0633\u0627\u062f\u0647 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0628\u0646\u0648\u06cc\u0633\u06cc\u0645 \u06a9\u0647 \u0645\u0631\u0628\u0639 \u0627\u0648\u0644\u06cc\u0646 \u0622\u06cc\u062a\u0645 \u0644\u06cc\u0633\u062a \u0631\u0627 \u067e\u06cc\u062f\u0627 \u06a9\u0646\u062f \u0648 \u0633\u067e\u0633 \u0622\u0646 \u0631\u0627 \u0686\u0627\u067e \u06a9\u0646\u062f. \u0631\u0648\u06cc \u0635\u0641\u062d\u0647 \u0646\u0645\u0627\u06cc\u0634:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">constant_algo<\/span>(<span class=\"hljs-params\">items<\/span>):<\/span>\n    result = items(<span class=\"hljs-number\">0<\/span>) * items(<span class=\"hljs-number\">0<\/span>)\n    <span class=\"hljs-built_in\">print<\/span>(result)\n\nconstant_algo((<span class=\"hljs-number\">4<\/span>, <span class=\"hljs-number\">5<\/span>, <span class=\"hljs-number\">6<\/span>, <span class=\"hljs-number\">8<\/span>))\n<\/code><\/pre>\n<p>\u062f\u0631 \u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0628\u0627\u0644\u0627\u060c <em>\u0635\u0631\u0641 \u0646\u0638\u0631 \u0627\u0632 \u0627\u0646\u062f\u0627\u0632\u0647 \u0648\u0631\u0648\u062f\u06cc<\/em>\u060c \u06cc\u0627 \u062a\u0639\u062f\u0627\u062f \u0645\u0648\u0627\u0631\u062f \u0645\u0648\u062c\u0648\u062f \u062f\u0631 \u0644\u06cc\u0633\u062a \u0648\u0631\u0648\u062f\u06cc <code>items<\/code>\u060c \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0641\u0642\u0637 2 \u0645\u0631\u062d\u0644\u0647 \u0631\u0627 \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc \u062f\u0647\u062f:<\/p>\n<ol>\n<li>\u067e\u06cc\u062f\u0627 \u06a9\u0631\u062f\u0646 \u0645\u0631\u0628\u0639 \u0639\u0646\u0635\u0631 \u0627\u0648\u0644<\/li>\n<li>\u0686\u0627\u067e \u0646\u062a\u06cc\u062c\u0647 \u0631\u0648\u06cc \u0635\u0641\u062d\u0647 \u0646\u0645\u0627\u06cc\u0634<\/li>\n<\/ol>\n<p>\u0627\u0632 \u0627\u06cc\u0646 \u0631\u0648\u060c \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u062b\u0627\u0628\u062a \u0645\u06cc \u0645\u0627\u0646\u062f.<\/p>\n<p>\u0627\u06af\u0631 \u06cc\u06a9 \u0646\u0645\u0648\u062f\u0627\u0631 \u062e\u0637\u06cc \u0628\u0627 \u0627\u0646\u062f\u0627\u0632\u0647 \u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641 \u062a\u0631\u0633\u06cc\u0645 \u06a9\u0646\u06cc\u062f <code>items<\/code> \u0648\u0631\u0648\u062f\u06cc \u0631\u0648\u06cc \u0645\u062d\u0648\u0631 X \u0648 \u062a\u0639\u062f\u0627\u062f \u0645\u0631\u0627\u062d\u0644 \u0631\u0648\u06cc \u062f\u0631 \u0645\u062d\u0648\u0631 Y\u060c \u06cc\u06a9 \u062e\u0637 \u0645\u0633\u062a\u0642\u06cc\u0645 \u062e\u0648\u0627\u0647\u06cc\u062f \u062f\u0627\u0634\u062a.  \u0628\u06cc\u0627\u06cc\u06cc\u062f \u06cc\u06a9 \u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u06a9\u0648\u062a\u0627\u0647 \u0628\u0633\u0627\u0632\u06cc\u0645 \u062a\u0627 \u0628\u0647 \u0645\u0627 \u062f\u0631 \u062a\u062c\u0633\u0645 \u0627\u06cc\u0646 \u0645\u0648\u0636\u0648\u0639 \u06a9\u0645\u06a9 \u06a9\u0646\u062f.  \u0628\u062f\u0648\u0646 \u062a\u0648\u062c\u0647 \u0628\u0647 \u062a\u0639\u062f\u0627\u062f \u0648\u0631\u0648\u062f\u06cc \u0647\u0627\u060c \u062a\u0639\u062f\u0627\u062f \u0645\u0631\u0627\u062d\u0644 \u0627\u062c\u0631\u0627 \u0634\u062f\u0647 \u062b\u0627\u0628\u062a \u0645\u06cc \u0645\u0627\u0646\u062f:<\/p>\n<pre><code class=\"hljs\">steps = ()\n<span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">constant<\/span>(<span class=\"hljs-params\">n<\/span>):<\/span>\n    <span class=\"hljs-keyword\">return<\/span> <span class=\"hljs-number\">1<\/span>\n    \n<span class=\"hljs-keyword\">for<\/span> i <span class=\"hljs-keyword\">in<\/span> <span class=\"hljs-built_in\">range<\/span>(<span class=\"hljs-number\">1<\/span>, <span class=\"hljs-number\">100<\/span>):\n    steps.append(constant(i))\nplt.plot(steps)\n<\/code><\/pre>\n<p><img decoding=\"async\" src=\"https:\/\/rasanegar.com\/blog\/wp-content\/uploads\/2024\/01\/big-o-notation-and-algorithm-analysis-with-python-examples-2.png\" alt=\"\" title=\"\"><\/p>\n<h4 id=\"linearcomplexityon\">\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u062e\u0637\u06cc &#8211; <em>\u0628\u0631)<\/em><\/h4>\n<p>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u062e\u0637\u06cc \u0627\u0633\u062a \u0627\u06af\u0631 \u0645\u0631\u0627\u062d\u0644 \u0644\u0627\u0632\u0645 \u0628\u0631\u0627\u06cc \u062a\u06a9\u0645\u06cc\u0644 \u0627\u062c\u0631\u0627\u06cc \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0628\u0647 \u0635\u0648\u0631\u062a \u062e\u0637\u06cc \u0628\u0627 \u062a\u0639\u062f\u0627\u062f \u0648\u0631\u0648\u062f\u06cc \u0647\u0627 \u0627\u0641\u0632\u0627\u06cc\u0634 \u06cc\u0627 \u06a9\u0627\u0647\u0634 \u06cc\u0627\u0628\u062f.  \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u062e\u0637\u06cc \u0628\u0627 \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f <em>\u0628\u0631)<\/em>.<\/p>\n<p>\u062f\u0631 \u0627\u06cc\u0646 \u0645\u062b\u0627\u0644\u060c \u0627\u062c\u0627\u0632\u0647 \u062f\u0647\u06cc\u062f \u06cc\u06a9 \u0628\u0631\u0646\u0627\u0645\u0647 \u0633\u0627\u062f\u0647 \u0628\u0646\u0648\u06cc\u0633\u06cc\u0645 \u06a9\u0647 \u062a\u0645\u0627\u0645 \u0645\u0648\u0627\u0631\u062f \u0645\u0648\u062c\u0648\u062f \u062f\u0631 \u0644\u06cc\u0633\u062a \u0631\u0627 \u0628\u0647 \u0646\u0645\u0627\u06cc\u0634 \u062f\u0631 \u0645\u06cc \u0622\u0648\u0631\u062f console:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">linear_algo<\/span>(<span class=\"hljs-params\">items<\/span>):<\/span>\n    <span class=\"hljs-keyword\">for<\/span> item <span class=\"hljs-keyword\">in<\/span> items:\n        <span class=\"hljs-built_in\">print<\/span>(item)\n\nlinear_algo((<span class=\"hljs-number\">4<\/span>, <span class=\"hljs-number\">5<\/span>, <span class=\"hljs-number\">6<\/span>, <span class=\"hljs-number\">8<\/span>))\n<\/code><\/pre>\n<p>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0627\u0632 <code>linear_algo()<\/code> \u062a\u0627\u0628\u0639 \u062f\u0631 \u0645\u062b\u0627\u0644 \u0628\u0627\u0644\u0627 \u062e\u0637\u06cc \u0627\u0633\u062a \u0632\u06cc\u0631\u0627 \u062a\u0639\u062f\u0627\u062f \u062a\u06a9\u0631\u0627\u0631\u0647\u0627\u06cc \u062d\u0644\u0642\u0647 for \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f <em>\u0628\u0631\u0627\u0628\u0631 \u0628\u0627 \u0627\u0646\u062f\u0627\u0632\u0647 \u0648\u0631\u0648\u062f\u06cc <code>items<\/code> \u0622\u0631\u0627\u06cc\u0647<\/em>.  \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644\u060c \u0627\u06af\u0631 4 \u0645\u0648\u0631\u062f \u062f\u0631 \u0622\u0646 \u0648\u062c\u0648\u062f \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u062f <code>items<\/code> \u062f\u0631 \u0644\u06cc\u0633\u062a\u060c \u062d\u0644\u0642\u0647 for 4 \u0628\u0627\u0631 \u0627\u062c\u0631\u0627 \u0645\u06cc \u0634\u0648\u062f.<\/p>\n<p>\u0628\u06cc\u0627\u06cc\u06cc\u062f \u0628\u0647 \u0633\u0631\u0639\u062a \u06cc\u06a9 \u0646\u0645\u0648\u062f\u0627\u0631 \u0628\u0631\u0627\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u062e\u0637\u06cc \u0628\u0627 \u062a\u0639\u062f\u0627\u062f \u0648\u0631\u0648\u062f\u06cc \u0647\u0627 \u0627\u06cc\u062c\u0627\u062f \u06a9\u0646\u06cc\u0645 \u0631\u0648\u06cc \u0645\u062d\u0648\u0631 x \u0648 \u062a\u0639\u062f\u0627\u062f \u0645\u0631\u0627\u062d\u0644 \u0631\u0648\u06cc \u0645\u062d\u0648\u0631 y:<\/p>\n<pre><code class=\"hljs\">steps = ()\n<span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">linear<\/span>(<span class=\"hljs-params\">n<\/span>):<\/span>\n    <span class=\"hljs-keyword\">return<\/span> n\n    \n<span class=\"hljs-keyword\">for<\/span> i <span class=\"hljs-keyword\">in<\/span> <span class=\"hljs-built_in\">range<\/span>(<span class=\"hljs-number\">1<\/span>, <span class=\"hljs-number\">100<\/span>):\n    steps.append(linear(i))\n    \nplt.plot(steps)\nplt.xlabel(<span class=\"hljs-string\">'Inputs'<\/span>)\nplt.ylabel(<span class=\"hljs-string\">'Steps'<\/span>)\n<\/code><\/pre>\n<p>\u0627\u06cc\u0646 \u0645\u0646\u062c\u0631 \u0628\u0647:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/rasanegar.com\/blog\/wp-content\/uploads\/2024\/01\/big-o-notation-and-algorithm-analysis-with-python-examples-3.png\" alt=\"\" title=\"\"><\/p>\n<p>\u0646\u06a9\u062a\u0647 \u0645\u0647\u0645\u06cc \u06a9\u0647 \u0628\u0627\u06cc\u062f \u0628\u0647 \u0622\u0646 \u062a\u0648\u062c\u0647 \u062f\u0627\u0634\u062a \u0627\u06cc\u0646 \u0627\u0633\u062a \u06a9\u0647 \u0628\u0627 \u0648\u0631\u0648\u062f\u06cc \u0647\u0627\u06cc \u0628\u0632\u0631\u06af\u060c \u062b\u0627\u0628\u062a \u0647\u0627 \u062a\u0645\u0627\u06cc\u0644 \u0628\u0647 \u0627\u0632 \u062f\u0633\u062a \u062f\u0627\u062f\u0646 \u0627\u0631\u0632\u0634 \u062f\u0627\u0631\u0646\u062f.  \u0628\u0647 \u0647\u0645\u06cc\u0646 \u062f\u0644\u06cc\u0644 \u0627\u0633\u062a \u06a9\u0647 \u0645\u0627 \u0645\u0639\u0645\u0648\u0644\u0627\u064b \u062b\u0627\u0628\u062a \u0647\u0627 \u0631\u0627 \u0627\u0632 \u0646\u0645\u0627\u062f Big-O \u062d\u0630\u0641 \u0645\u06cc \u06a9\u0646\u06cc\u0645 \u0648 \u0639\u0628\u0627\u0631\u062a\u06cc \u0645\u0627\u0646\u0646\u062f O(2n) \u0645\u0639\u0645\u0648\u0644\u0627\u064b \u0628\u0647 O(n) \u06a9\u0648\u062a\u0627\u0647 \u0645\u06cc \u0634\u0648\u062f.  \u0647\u0631 \u062f\u0648 O(2n) \u0648 O(n) \u062e\u0637\u06cc \u0647\u0633\u062a\u0646\u062f &#8211; \u0631\u0627\u0628\u0637\u0647 \u062e\u0637\u06cc \u0645\u0647\u0645 \u0627\u0633\u062a\u060c \u0646\u0647 \u0645\u0642\u062f\u0627\u0631 \u0645\u0634\u062e\u0635.  \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644\u060c \u0627\u062c\u0627\u0632\u0647 \u062f\u0647\u06cc\u062f \u062a\u063a\u06cc\u06cc\u0631 \u062f\u0647\u06cc\u062f <code>linear_algo()<\/code>:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">linear_algo<\/span>(<span class=\"hljs-params\">items<\/span>):<\/span>\n    <span class=\"hljs-keyword\">for<\/span> item <span class=\"hljs-keyword\">in<\/span> items:\n        <span class=\"hljs-built_in\">print<\/span>(item)\n\n    <span class=\"hljs-keyword\">for<\/span> item <span class=\"hljs-keyword\">in<\/span> items:\n        <span class=\"hljs-built_in\">print<\/span>(item)\n\nlinear_algo((<span class=\"hljs-number\">4<\/span>, <span class=\"hljs-number\">5<\/span>, <span class=\"hljs-number\">6<\/span>, <span class=\"hljs-number\">8<\/span>))\n<\/code><\/pre>\n<p>\u062f\u0648 \u062d\u0644\u0642\u0647 for \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f \u06a9\u0647 \u0631\u0648\u06cc \u0648\u0631\u0648\u062f\u06cc \u062a\u06a9\u0631\u0627\u0631 \u0645\u06cc \u0634\u0648\u0646\u062f <code>items<\/code> \u0641\u0647\u0631\u0633\u062a  \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0645\u06cc \u0634\u0648\u062f <em>O(2n)<\/em>\u0627\u0645\u0627 \u062f\u0631 \u0645\u0648\u0631\u062f \u0645\u0648\u0627\u0631\u062f \u0646\u0627\u0645\u062a\u0646\u0627\u0647\u06cc \u062f\u0631 \u0644\u06cc\u0633\u062a \u0648\u0631\u0648\u062f\u06cc\u060c \u062f\u0648 \u0628\u0631\u0627\u0628\u0631 \u0628\u06cc\u0646\u0647\u0627\u06cc\u062a \u0647\u0645\u0686\u0646\u0627\u0646 \u0628\u0631\u0627\u0628\u0631 \u0628\u0627 \u0628\u06cc \u0646\u0647\u0627\u06cc\u062a \u0627\u0633\u062a.  \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u062b\u0627\u0628\u062a \u0631\u0627 \u0646\u0627\u062f\u06cc\u062f\u0647 \u0628\u06af\u06cc\u0631\u06cc\u0645 <code>2<\/code> (\u0627\u0632 \u0622\u0646\u062c\u0627\u06cc\u06cc \u06a9\u0647 \u062f\u0631 \u0646\u0647\u0627\u06cc\u062a \u0646\u0627\u0686\u06cc\u0632 \u0627\u0633\u062a) \u0648 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0628\u0627\u0642\u06cc \u0645\u06cc \u0645\u0627\u0646\u062f <em>\u0628\u0631)<\/em>.<\/p>\n<p>\u0628\u06cc\u0627\u06cc\u06cc\u062f \u0627\u06cc\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u062c\u062f\u06cc\u062f \u0631\u0627 \u0628\u0627 \u062a\u0631\u0633\u06cc\u0645 \u0648\u0631\u0648\u062f\u06cc \u0647\u0627 \u062a\u062c\u0633\u0645 \u06a9\u0646\u06cc\u0645 \u0631\u0648\u06cc \u0645\u062d\u0648\u0631 X \u0648 \u062a\u0639\u062f\u0627\u062f \u0645\u0631\u0627\u062d\u0644 \u0631\u0648\u06cc \u0645\u062d\u0648\u0631 Y:<\/p>\n<pre><code class=\"hljs\">steps = ()\n<span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">linear<\/span>(<span class=\"hljs-params\">n<\/span>):<\/span>\n    <span class=\"hljs-keyword\">return<\/span> <span class=\"hljs-number\">2<\/span>*n\n    \n<span class=\"hljs-keyword\">for<\/span> i <span class=\"hljs-keyword\">in<\/span> <span class=\"hljs-built_in\">range<\/span>(<span class=\"hljs-number\">1<\/span>, <span class=\"hljs-number\">100<\/span>):\n    steps.append(linear(i))\n    \nplt.plot(steps)\nplt.xlabel(<span class=\"hljs-string\">'Inputs'<\/span>)\nplt.ylabel(<span class=\"hljs-string\">'Steps'<\/span>)\n<\/code><\/pre>\n<p>\u062f\u0631 \u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0628\u0627\u0644\u0627\u060c \u0628\u0647 \u0648\u0636\u0648\u062d \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0622\u0646 \u0631\u0627 \u0628\u0628\u06cc\u0646\u06cc\u062f <em>y=2n<\/em>\u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644\u060c \u062e\u0631\u0648\u062c\u06cc \u062e\u0637\u06cc \u0627\u0633\u062a \u0648 \u0628\u0647 \u0634\u06a9\u0644 \u0632\u06cc\u0631 \u0627\u0633\u062a:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/rasanegar.com\/blog\/wp-content\/uploads\/2024\/01\/big-o-notation-and-algorithm-analysis-with-python-examples-4.png\" alt=\"\" title=\"\"><\/p>\n<h4 id=\"quadraticcomplexityon\">\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u062f\u0631\u062c\u0647 \u062f\u0648\u0645 &#8211; <em>O (n\u00b2)<\/em><\/h4>\n<p>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0632\u0645\u0627\u0646\u06cc \u0628\u0647 \u062f\u0631\u062c\u0647 \u062f\u0648\u0645 \u06af\u0641\u062a\u0647 \u0645\u06cc \u0634\u0648\u062f \u06a9\u0647 \u0645\u0631\u0627\u062d\u0644 \u0645\u0648\u0631\u062f \u0646\u06cc\u0627\u0632 \u0628\u0631\u0627\u06cc \u0627\u062c\u0631\u0627\u06cc \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u062a\u0627\u0628\u0639 \u062f\u0631\u062c\u0647 \u062f\u0648\u0645 \u062a\u0639\u062f\u0627\u062f \u0622\u06cc\u062a\u0645 \u0647\u0627\u06cc \u0648\u0631\u0648\u062f\u06cc \u0628\u0627\u0634\u062f.  \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u062f\u0631\u062c\u0647 \u062f\u0648\u0645 \u0628\u0647 \u0635\u0648\u0631\u062a \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f <em>O (n\u00b2)<\/em>:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">quadratic_algo<\/span>(<span class=\"hljs-params\">items<\/span>):<\/span>\n    <span class=\"hljs-keyword\">for<\/span> item <span class=\"hljs-keyword\">in<\/span> items:\n        <span class=\"hljs-keyword\">for<\/span> item2 <span class=\"hljs-keyword\">in<\/span> items:\n            <span class=\"hljs-built_in\">print<\/span>(item, <span class=\"hljs-string\">' '<\/span> ,item2)\n\nquadratic_algo((<span class=\"hljs-number\">4<\/span>, <span class=\"hljs-number\">5<\/span>, <span class=\"hljs-number\">6<\/span>, <span class=\"hljs-number\">8<\/span>))\n<\/code><\/pre>\n<p>\u0645\u0627 \u06cc\u06a9 \u062d\u0644\u0642\u0647 \u0628\u06cc\u0631\u0648\u0646\u06cc \u062f\u0627\u0631\u06cc\u0645 \u06a9\u0647 \u062f\u0631 \u062a\u0645\u0627\u0645 \u0645\u0648\u0627\u0631\u062f \u0645\u0648\u062c\u0648\u062f \u062f\u0631 \u0644\u06cc\u0633\u062a \u0648\u0631\u0648\u062f\u06cc \u062a\u06a9\u0631\u0627\u0631 \u0645\u06cc \u0634\u0648\u062f \u0648 \u0633\u067e\u0633 \u06cc\u06a9 \u062d\u0644\u0642\u0647 \u062f\u0627\u062e\u0644\u06cc \u062a\u0648 \u062f\u0631 \u062a\u0648\u060c \u06a9\u0647 \u062f\u0648\u0628\u0627\u0631\u0647 \u0627\u0632 \u0637\u0631\u06cc\u0642 \u062a\u0645\u0627\u0645 \u0645\u0648\u0627\u0631\u062f \u062f\u0631 \u0644\u06cc\u0633\u062a \u0648\u0631\u0648\u062f\u06cc \u062a\u06a9\u0631\u0627\u0631 \u0645\u06cc \u0634\u0648\u062f.  \u062a\u0639\u062f\u0627\u062f \u06a9\u0644 \u0645\u0631\u0627\u062d\u0644 \u0627\u0646\u062c\u0627\u0645 \u0634\u062f\u0647 n*n \u0627\u0633\u062a \u06a9\u0647 n \u062a\u0639\u062f\u0627\u062f \u0645\u0648\u0627\u0631\u062f \u0645\u0648\u062c\u0648\u062f \u062f\u0631 \u0622\u0631\u0627\u06cc\u0647 \u0648\u0631\u0648\u062f\u06cc \u0627\u0633\u062a.<\/p>\n<p>\u0646\u0645\u0648\u062f\u0627\u0631 \u0632\u06cc\u0631 \u062a\u0639\u062f\u0627\u062f \u0648\u0631\u0648\u062f\u06cc \u0647\u0627 \u0631\u0627 \u062f\u0631 \u0628\u0631\u0627\u0628\u0631 \u0645\u0631\u0627\u062d\u0644 \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0628\u0627 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u062f\u0631\u062c\u0647 \u062f\u0648\u0645 \u062a\u0631\u0633\u06cc\u0645 \u0645\u06cc \u06a9\u0646\u062f:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/rasanegar.com\/blog\/wp-content\/uploads\/2024\/01\/big-o-notation-and-algorithm-analysis-with-python-examples-5.png\" alt=\"\" title=\"\"><\/p>\n<h4 id=\"logarithmiccomplexityologn\">\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0644\u06af\u0627\u0631\u06cc\u062a\u0645\u06cc &#8211; <em>O(logn)<\/em><\/h4>\n<p>\u0628\u0631\u062e\u06cc \u0627\u0632 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0627 \u0628\u0647 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0644\u06af\u0627\u0631\u06cc\u062a\u0645\u06cc \u062f\u0633\u062a \u0645\u06cc \u06cc\u0627\u0628\u0646\u062f\u060c \u0645\u0627\u0646\u0646\u062f <em>\u062c\u0633\u062a\u062c\u0648\u06cc \u0628\u0627\u06cc\u0646\u0631\u06cc<\/em>.  \u062c\u0633\u062a\u062c\u0648\u06cc \u062f\u0648\u062f\u0648\u06cc\u06cc \u06cc\u06a9 \u0639\u0646\u0635\u0631 \u062f\u0631 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0631\u0627 \u0628\u0627 \u0639\u0644\u0627\u0645\u062a \u0632\u062f\u0646 \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f <em>\u0648\u0633\u0637<\/em> \u0627\u0632 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647\u060c \u0648 \u0647\u0631\u0633 \u0646\u06cc\u0645\u0647 \u0627\u06cc \u06a9\u0647 \u0639\u0646\u0635\u0631 \u062f\u0631 \u0622\u0646 \u0646\u06cc\u0633\u062a.  \u0627\u06cc\u0646 \u06a9\u0627\u0631 \u0631\u0627 \u062f\u0648\u0628\u0627\u0631\u0647 \u0628\u0631\u0627\u06cc \u0646\u06cc\u0645\u0647 \u0628\u0627\u0642\u06cc \u0645\u0627\u0646\u062f\u0647 \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc \u062f\u0647\u062f \u0648 \u0647\u0645\u0627\u0646 \u0645\u0631\u0627\u062d\u0644 \u0631\u0627 \u0627\u062f\u0627\u0645\u0647 \u0645\u06cc \u062f\u0647\u062f \u062a\u0627 \u0639\u0646\u0635\u0631 \u067e\u06cc\u062f\u0627 \u0634\u0648\u062f.  \u062f\u0631 \u0647\u0631 \u0645\u0631\u062d\u0644\u0647\u060c \u0622\u0646 <em>\u0646\u06cc\u0645\u0647 \u0647\u0627<\/em> \u062a\u0639\u062f\u0627\u062f \u0639\u0646\u0627\u0635\u0631 \u0622\u0631\u0627\u06cc\u0647<\/p>\n<blockquote>\n<p>\u0627\u06cc\u0646 \u0627\u0645\u0631 \u0645\u0633\u062a\u0644\u0632\u0645 \u0645\u0631\u062a\u0628\u200c\u0633\u0627\u0632\u06cc \u0622\u0631\u0627\u06cc\u0647 \u0627\u0633\u062a \u0648 \u0641\u0631\u0636\u06cc\u0627\u062a\u06cc \u062f\u0631 \u0645\u0648\u0631\u062f \u062f\u0627\u062f\u0647\u200c\u0647\u0627 (\u0645\u0627\u0646\u0646\u062f \u0645\u0631\u062a\u0628\u200c\u0633\u0627\u0632\u06cc \u0622\u0646\u200c\u0647\u0627) \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f.<\/p>\n<\/blockquote>\n<p>\u0632\u0645\u0627\u0646\u06cc \u06a9\u0647 \u0628\u062a\u0648\u0627\u0646\u06cc\u062f \u062f\u0631 \u0645\u0648\u0631\u062f \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u062f\u0631\u06cc\u0627\u0641\u062a\u06cc \u0645\u0641\u0631\u0648\u0636\u0627\u062a\u06cc \u0628\u0633\u0627\u0632\u06cc\u062f\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0627\u0642\u062f\u0627\u0645\u0627\u062a\u06cc \u0631\u0627 \u0627\u0646\u062c\u0627\u0645 \u062f\u0647\u06cc\u062f \u06a9\u0647 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0631\u0627 \u06a9\u0627\u0647\u0634 \u0645\u06cc \u062f\u0647\u062f.  \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0644\u06af\u0627\u0631\u06cc\u062a\u0645\u06cc \u0645\u0637\u0644\u0648\u0628 \u0627\u0633\u062a\u060c \u0632\u06cc\u0631\u0627 \u0639\u0645\u0644\u06a9\u0631\u062f \u062e\u0648\u0628\u06cc \u0631\u0627 \u062d\u062a\u06cc \u0628\u0627 \u0648\u0631\u0648\u062f\u06cc \u0647\u0627\u06cc \u0628\u0627 \u0645\u0642\u06cc\u0627\u0633 \u0628\u0627\u0644\u0627 \u0628\u0647 \u062f\u0633\u062a \u0645\u06cc \u0622\u0648\u0631\u062f.<\/p>\n<h4 id=\"findingthecomplexityofcomplexfunctions\">\u067e\u06cc\u062f\u0627 \u06a9\u0631\u062f\u0646 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u062a\u0648\u0627\u0628\u0639 \u067e\u06cc\u0686\u06cc\u062f\u0647\u061f<\/h4>\n<p>\u062f\u0631 \u0645\u062b\u0627\u0644 \u0647\u0627\u06cc \u0642\u0628\u0644\u06cc\u060c \u062a\u0648\u0627\u0628\u0639 \u0646\u0633\u0628\u062a\u0627 \u0633\u0627\u062f\u0647 \u0627\u06cc \u062f\u0627\u0634\u062a\u06cc\u0645 \u0631\u0648\u06cc \u0648\u0631\u0648\u062f\u06cc  \u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644\u060c \u0686\u06af\u0648\u0646\u0647 Big-O \u062a\u0648\u0627\u0628\u0639\u06cc \u0631\u0627 \u06a9\u0647 (\u0686\u0646\u062f\u06cc\u0646) \u062a\u0648\u0627\u0628\u0639 \u062f\u06cc\u06af\u0631 \u0631\u0627 \u0641\u0631\u0627\u062e\u0648\u0627\u0646\u06cc \u0645\u06cc \u06a9\u0646\u0646\u062f \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0646\u06cc\u0645 \u0631\u0648\u06cc \u0648\u0631\u0648\u062f\u06cc\u061f<\/p>\n<p>\u0628\u06cc\u0627 \u06cc\u06a9 \u0646\u06af\u0627\u0647\u06cc \u0628\u06cc\u0646\u062f\u0627\u0632\u06cc\u0645:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">complex_algo<\/span>(<span class=\"hljs-params\">items<\/span>):<\/span>\n\n    <span class=\"hljs-keyword\">for<\/span> i <span class=\"hljs-keyword\">in<\/span> <span class=\"hljs-built_in\">range<\/span>(<span class=\"hljs-number\">5<\/span>):\n        <span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-string\">\"Python is awesome\"<\/span>)\n\n    <span class=\"hljs-keyword\">for<\/span> item <span class=\"hljs-keyword\">in<\/span> items:\n        <span class=\"hljs-built_in\">print<\/span>(item)\n\n    <span class=\"hljs-keyword\">for<\/span> item <span class=\"hljs-keyword\">in<\/span> items:\n        <span class=\"hljs-built_in\">print<\/span>(item)\n\n    <span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-string\">\"Big O\"<\/span>)\n    <span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-string\">\"Big O\"<\/span>)\n    <span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-string\">\"Big O\"<\/span>)\n\ncomplex_algo((<span class=\"hljs-number\">4<\/span>, <span class=\"hljs-number\">5<\/span>, <span class=\"hljs-number\">6<\/span>, <span class=\"hljs-number\">8<\/span>))\n<\/code><\/pre>\n<p>\u062f\u0631 \u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0628\u0627\u0644\u0627 \u0686\u0646\u062f\u06cc\u0646 \u06a9\u0627\u0631 \u062f\u0631 \u062d\u0627\u0644 \u0627\u0646\u062c\u0627\u0645 \u0627\u0633\u062a\u060c \u0627\u0628\u062a\u062f\u0627 \u06cc\u06a9 \u0631\u0634\u062a\u0647 5 \u0628\u0627\u0631 \u0686\u0627\u067e \u0645\u06cc \u0634\u0648\u062f \u0631\u0648\u06cc \u0631\u0627 console \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 <code>print<\/code> \u0628\u06cc\u0627\u0646\u06cc\u0647.  \u0628\u0639\u062f\u060c \u0645\u0627 print \u0644\u06cc\u0633\u062a \u0648\u0631\u0648\u062f\u06cc \u062f\u0648 \u0628\u0627\u0631 \u0631\u0648\u06cc \u0635\u0641\u062d\u0647 \u0648 \u062f\u0631 \u0646\u0647\u0627\u06cc\u062a \u06cc\u06a9 \u0631\u0634\u062a\u0647 \u062f\u06cc\u06af\u0631 \u0633\u0647 \u0628\u0627\u0631 \u0686\u0627\u067e \u0645\u06cc \u0634\u0648\u062f \u0631\u0648\u06cc \u0631\u0627 console.  \u0628\u0631\u0627\u06cc \u06cc\u0627\u0641\u062a\u0646 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0686\u0646\u06cc\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u06cc\u060c \u0628\u0627\u06cc\u062f \u06a9\u062f \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0631\u0627 \u0628\u0647 \u0628\u062e\u0634\u200c\u0647\u0627\u06cc\u06cc \u062a\u0642\u0633\u06cc\u0645 \u06a9\u0646\u06cc\u0645 \u0648 \u0633\u0639\u06cc \u06a9\u0646\u06cc\u0645 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u062a\u06a9 \u062a\u06a9 \u0642\u0637\u0639\u0627\u062a \u0631\u0627 \u067e\u06cc\u062f\u0627 \u06a9\u0646\u06cc\u0645.  \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0647\u0631 \u0642\u0637\u0639\u0647 \u0631\u0627 \u0645\u0634\u062e\u0635 \u06a9\u0646\u06cc\u062f.<\/p>\n<p>\u062f\u0631 \u0628\u062e\u0634 \u0627\u0648\u0644 \u062f\u0627\u0631\u06cc\u0645:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-keyword\">for<\/span> i <span class=\"hljs-keyword\">in<\/span> <span class=\"hljs-built_in\">range<\/span>(<span class=\"hljs-number\">5<\/span>):\n    <span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-string\">\"Python is awesome\"<\/span>)\n<\/code><\/pre>\n<p>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0627\u06cc\u0646 \u0642\u0633\u0645\u062a \u0627\u0633\u062a <em>O (5)<\/em> \u0627\u0632 \u0622\u0646\u062c\u0627\u06cc\u06cc \u06a9\u0647 \u067e\u0646\u062c \u0645\u0631\u062d\u0644\u0647 \u062b\u0627\u0628\u062a \u0628\u062f\u0648\u0646 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0648\u0631\u0648\u062f\u06cc \u062f\u0631 \u0627\u06cc\u0646 \u0642\u0637\u0639\u0647 \u06a9\u062f \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc \u0634\u0648\u062f.<\/p>\n<p>\u0628\u0639\u062f\u060c \u062f\u0627\u0631\u06cc\u0645:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-keyword\">for<\/span> item <span class=\"hljs-keyword\">in<\/span> items:\n    <span class=\"hljs-built_in\">print<\/span>(item)\n<\/code><\/pre>\n<p>\u0645\u0627 \u0645\u06cc \u062f\u0627\u0646\u06cc\u0645 \u06a9\u0647 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0642\u0637\u0639\u0647 \u06a9\u062f \u0628\u0627\u0644\u0627 \u0627\u0633\u062a <em>\u0628\u0631)<\/em>.  \u0628\u0647 \u0637\u0648\u0631 \u0645\u0634\u0627\u0628\u0647\u060c \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0642\u0637\u0639\u0647 \u06a9\u062f \u0632\u06cc\u0631 \u0646\u06cc\u0632 \u0647\u0633\u062a <em>\u0628\u0631)<\/em>:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-keyword\">for<\/span> item <span class=\"hljs-keyword\">in<\/span> items:\n    <span class=\"hljs-built_in\">print<\/span>(item)\n<\/code><\/pre>\n<p>\u062f\u0631 \u0646\u0647\u0627\u06cc\u062a\u060c \u062f\u0631 \u0642\u0637\u0639\u0647 \u06a9\u062f \u0632\u06cc\u0631\u060c \u06cc\u06a9 \u0631\u0634\u062a\u0647 \u0633\u0647 \u0628\u0627\u0631 \u0686\u0627\u067e \u0645\u06cc \u0634\u0648\u062f\u060c \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0622\u0646 \u0627\u0633\u062a <em>O (3)<\/em>:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-string\">\"Big O\"<\/span>)\n<span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-string\">\"Big O\"<\/span>)\n<span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-string\">\"Big O\"<\/span>)\n<\/code><\/pre>\n<p>\u0628\u0631\u0627\u06cc \u06cc\u0627\u0641\u062a\u0646 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u06a9\u0644\u06cc\u060c \u0645\u0627 \u0628\u0647 \u0633\u0627\u062f\u06af\u06cc \u0628\u0627\u06cc\u062f \u0627\u06cc\u0646 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0647\u0627\u06cc \u0641\u0631\u062f\u06cc \u0631\u0627 \u0627\u0636\u0627\u0641\u0647 \u06a9\u0646\u06cc\u0645:<\/p>\n<pre><code class=\"hljs\">O(5) + O(n) + O(n) + O(3)\n<\/code><\/pre>\n<p>\u0628\u0627 \u0633\u0627\u062f\u0647 \u0633\u0627\u0632\u06cc \u0645\u0648\u0627\u0631\u062f \u0641\u0648\u0642 \u0628\u0647 \u062f\u0633\u062a \u0645\u06cc \u0622\u0648\u0631\u06cc\u0645:<\/p>\n<pre><code class=\"hljs\">O(8) + O(2n) = O(8+2n)\n<\/code><\/pre>\n<p>\u0642\u0628\u0644\u0627\u064b \u06af\u0641\u062a\u06cc\u0645 \u06a9\u0647 \u0648\u0642\u062a\u06cc \u0648\u0631\u0648\u062f\u06cc (\u06a9\u0647 \u062f\u0631 \u0627\u06cc\u0646 \u0645\u0648\u0631\u062f \u062f\u0627\u0631\u0627\u06cc \u0637\u0648\u0644 n \u0627\u0633\u062a) \u0628\u0633\u06cc\u0627\u0631 \u0628\u0632\u0631\u06af \u0645\u06cc \u0634\u0648\u062f\u060c \u062b\u0627\u0628\u062a \u0647\u0627 \u0646\u0627\u0686\u06cc\u0632 \u0645\u06cc \u0634\u0648\u0646\u062f\u060c \u06cc\u0639\u0646\u06cc \u062f\u0648 \u06cc\u0627 \u0646\u06cc\u0645\u06cc \u0627\u0632 \u0628\u06cc \u0646\u0647\u0627\u06cc\u062a \u0647\u0645\u0686\u0646\u0627\u0646 \u0628\u06cc \u0646\u0647\u0627\u06cc\u062a \u0628\u0627\u0642\u06cc \u0645\u06cc \u0645\u0627\u0646\u062f.  \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u062b\u0627\u0628\u062a \u0647\u0627 \u0631\u0627 \u0646\u0627\u062f\u06cc\u062f\u0647 \u0628\u06af\u06cc\u0631\u06cc\u0645.  \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0646\u0647\u0627\u06cc\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f <em>\u0628\u0631)<\/em>!<\/p>\n<h4 id=\"worstvsbestcasecomplexity\">\u0628\u062f\u062a\u0631\u06cc\u0646 \u062f\u0631 \u0645\u0642\u0627\u0628\u0644 \u0628\u0647\u062a\u0631\u06cc\u0646 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u067e\u0631\u0648\u0646\u062f\u0647<\/h4>\n<p>\u0645\u0639\u0645\u0648\u0644\u0627\u064b \u0648\u0642\u062a\u06cc \u06a9\u0633\u06cc \u0627\u0632 \u0634\u0645\u0627 \u062f\u0631 \u0645\u0648\u0631\u062f \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0645\u06cc \u067e\u0631\u0633\u062f &#8211; \u0628\u0647 \u0628\u062f\u062a\u0631\u06cc\u0646 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc (Big-O) \u0639\u0644\u0627\u0642\u0647 \u0645\u0646\u062f \u0627\u0633\u062a.  \u06af\u0627\u0647\u06cc \u0627\u0648\u0642\u0627\u062a\u060c \u0622\u0646\u0647\u0627 \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0628\u0647 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0628\u0647\u062a\u0631\u06cc\u0646 \u062d\u0627\u0644\u062a \u0646\u06cc\u0632 \u0639\u0644\u0627\u0642\u0647 \u0645\u0646\u062f \u0634\u0648\u0646\u062f (Big-Omega).<\/p>\n<p>\u0628\u0631\u0627\u06cc \u062f\u0631\u06a9 \u0631\u0627\u0628\u0637\u0647 \u0628\u06cc\u0646 \u0627\u06cc\u0646\u0647\u0627\u060c \u0627\u062c\u0627\u0632\u0647 \u062f\u0647\u06cc\u062f \u0628\u0647 \u06a9\u062f \u062f\u06cc\u06af\u0631\u06cc \u0646\u06af\u0627\u0647\u06cc \u0628\u06cc\u0646\u062f\u0627\u0632\u06cc\u0645:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">search_algo<\/span>(<span class=\"hljs-params\">num, items<\/span>):<\/span>\n    <span class=\"hljs-keyword\">for<\/span> item <span class=\"hljs-keyword\">in<\/span> items:\n        <span class=\"hljs-keyword\">if<\/span> item == num:\n            <span class=\"hljs-keyword\">return<\/span> <span class=\"hljs-literal\">True<\/span>\n        <span class=\"hljs-keyword\">else<\/span>:\n            <span class=\"hljs-keyword\">pass<\/span>\nnums = (<span class=\"hljs-number\">2<\/span>, <span class=\"hljs-number\">4<\/span>, <span class=\"hljs-number\">6<\/span>, <span class=\"hljs-number\">8<\/span>, <span class=\"hljs-number\">10<\/span>)\n\n<span class=\"hljs-built_in\">print<\/span>(search_algo(<span class=\"hljs-number\">2<\/span>, nums))\n<\/code><\/pre>\n<p>\u062f\u0631 \u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0628\u0627\u0644\u0627 \u062a\u0627\u0628\u0639\u06cc \u062f\u0627\u0631\u06cc\u0645 \u06a9\u0647 \u06cc\u06a9 \u0639\u062f\u062f \u0648 \u0644\u06cc\u0633\u062a\u06cc \u0627\u0632 \u0627\u0639\u062f\u0627\u062f \u0631\u0627 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0648\u0631\u0648\u062f\u06cc \u0645\u06cc \u06af\u06cc\u0631\u062f.  \u0627\u06af\u0631 \u0639\u062f\u062f \u0627\u0631\u0633\u0627\u0644 \u0634\u062f\u0647 \u062f\u0631 \u0644\u06cc\u0633\u062a \u0627\u0639\u062f\u0627\u062f \u06cc\u0627\u0641\u062a \u0634\u0648\u062f\u060c \u0645\u0642\u062f\u0627\u0631 true \u0631\u0627 \u0628\u0631\u0645\u06cc \u06af\u0631\u062f\u0627\u0646\u062f\u060c \u062f\u0631 \u063a\u06cc\u0631 \u0627\u06cc\u0646 \u0635\u0648\u0631\u062a\u060c \u0628\u0631\u0645\u06cc \u06af\u0631\u062f\u062f <code>None<\/code>.  \u0627\u06af\u0631 2 \u0631\u0627 \u062f\u0631 \u0644\u06cc\u0633\u062a \u062c\u0633\u062a\u062c\u0648 \u06a9\u0646\u06cc\u062f\u060c \u062f\u0631 \u0645\u0642\u0627\u06cc\u0633\u0647 \u0627\u0648\u0644 \u067e\u06cc\u062f\u0627 \u0645\u06cc \u0634\u0648\u062f.  \u0627\u06cc\u0646 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u062f\u0631 \u0628\u0647\u062a\u0631\u06cc\u0646 \u062d\u0627\u0644\u062a \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0627\u0633\u062a \u0632\u06cc\u0631\u0627 \u0645\u0648\u0631\u062f \u062c\u0633\u062a\u062c\u0648 \u0634\u062f\u0647 \u062f\u0631 \u0627\u0648\u0644\u06cc\u0646 \u0641\u0647\u0631\u0633\u062a \u062c\u0633\u062a\u062c\u0648 \u06cc\u0627\u0641\u062a \u0645\u06cc \u0634\u0648\u062f. <em>\u0628\u0647\u062a\u0631\u06cc\u0646 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0645\u0648\u0631\u062f<\/em>\u060c \u062f\u0631 \u0627\u06cc\u0646 \u0645\u0648\u0631\u062f \u0627\u0633\u062a <em>O (1)<\/em>.  \u0627\u0632 \u0637\u0631\u0641 \u062f\u06cc\u06af\u0631\u060c \u0627\u06af\u0631 10 \u0631\u0627 \u062c\u0633\u062a\u062c\u0648 \u06a9\u0646\u06cc\u062f\u060c \u062f\u0631 \u0622\u062e\u0631\u06cc\u0646 \u0641\u0647\u0631\u0633\u062a \u062c\u0633\u062a\u062c\u0648 \u067e\u06cc\u062f\u0627 \u0645\u06cc \u0634\u0648\u062f.  \u0627\u0632 \u0627\u06cc\u0646 \u0631\u0648\u060c \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0628\u0627\u06cc\u062f \u062a\u0645\u0627\u0645 \u0645\u0648\u0627\u0631\u062f \u0645\u0648\u062c\u0648\u062f \u062f\u0631 \u0644\u06cc\u0633\u062a \u0631\u0627 \u062c\u0633\u062a\u062c\u0648 \u06a9\u0646\u062f <em>\u0628\u062f\u062a\u0631\u06cc\u0646 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc<\/em> \u062a\u0628\u062f\u06cc\u0644 \u0645\u06cc \u0634\u0648\u062f <em>\u0628\u0631)<\/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> \u062d\u062a\u06cc \u0627\u06af\u0631 \u0628\u062e\u0648\u0627\u0647\u06cc\u062f \u0639\u0646\u0635\u0631\u06cc \u0631\u0627 \u06a9\u0647 \u0648\u062c\u0648\u062f \u0646\u062f\u0627\u0631\u062f \u062f\u0631 \u06cc\u06a9 \u0644\u06cc\u0633\u062a \u067e\u06cc\u062f\u0627 \u06a9\u0646\u06cc\u062f\u060c \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u062f\u0631 \u0628\u062f\u062a\u0631\u06cc\u0646 \u062d\u0627\u0644\u062a \u06cc\u06a9\u0633\u0627\u0646 \u0628\u0627\u0642\u06cc \u0645\u06cc\u200c\u0645\u0627\u0646\u062f. <em>n<\/em> \u0645\u0631\u0627\u062d\u0644 \u0628\u0631\u0627\u06cc \u062a\u0623\u06cc\u06cc\u062f \u0627\u06cc\u0646\u06a9\u0647 \u0686\u0646\u06cc\u0646 \u0639\u0646\u0635\u0631\u06cc \u062f\u0631 \u0644\u06cc\u0633\u062a \u0648\u062c\u0648\u062f \u0646\u062f\u0627\u0631\u062f.  \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u062f\u0631 \u0628\u062f\u062a\u0631\u06cc\u0646 \u062d\u0627\u0644\u062a \u0628\u0627\u0642\u06cc \u0645\u06cc \u0645\u0627\u0646\u062f <em>\u0628\u0631)<\/em>.<\/p>\n<\/p><\/div><\/div><\/div>\n<p>\u0639\u0644\u0627\u0648\u0647 \u0628\u0631 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0628\u0647\u062a\u0631\u06cc\u0646 \u0648 \u0628\u062f\u062a\u0631\u06cc\u0646 \u062d\u0627\u0644\u062a\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0646\u06cc\u062f <em>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0645\u062a\u0648\u0633\u0637<\/em> (\u0628\u06cc\u06af \u062a\u062a\u0627) \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u060c \u06a9\u0647 \u0628\u0647 \u0634\u0645\u0627 \u0645\u06cc \u06af\u0648\u06cc\u062f &#8220;\u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u06cc\u06a9 \u0648\u0631\u0648\u062f\u06cc \u062a\u0635\u0627\u062f\u0641\u06cc\u060c \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0632\u0645\u0627\u0646\u06cc \u0645\u0648\u0631\u062f \u0627\u0646\u062a\u0638\u0627\u0631 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0686\u0642\u062f\u0631 \u0627\u0633\u062a&#8221;\u061f<\/p>\n<h4 id=\"spacecomplexity\">\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0641\u0636\u0627<\/h4>\n<p>\u0639\u0644\u0627\u0648\u0647 \u0628\u0631 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0632\u0645\u0627\u0646\u06cc\u060c \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u062a\u0639\u062f\u0627\u062f \u0645\u0631\u0627\u062d\u0644 \u0644\u0627\u0632\u0645 \u0628\u0631\u0627\u06cc \u062a\u06a9\u0645\u06cc\u0644 \u0627\u062c\u0631\u0627\u06cc \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0631\u0627 \u0645\u06cc \u0634\u0645\u0627\u0631\u06cc\u062f\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f <em>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0641\u0636\u0627<\/em> \u06a9\u0647 \u0628\u0647 \u0645\u06cc\u0632\u0627\u0646 \u0641\u0636\u0627\u06cc\u06cc \u06a9\u0647 \u0628\u0627\u06cc\u062f \u062f\u0631 \u062d\u06cc\u0646 \u0627\u062c\u0631\u0627\u06cc \u06cc\u06a9 \u0628\u0631\u0646\u0627\u0645\u0647 \u062f\u0631 \u062d\u0627\u0641\u0638\u0647 \u0627\u062e\u062a\u0635\u0627\u0635 \u062f\u0647\u06cc\u062f \u0627\u0634\u0627\u0631\u0647 \u062f\u0627\u0631\u062f.<\/p>\n<p>\u0628\u0647 \u0645\u062b\u0627\u0644 \u0632\u06cc\u0631 \u062f\u0642\u062a \u06a9\u0646\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">return_squares<\/span>(<span class=\"hljs-params\">n<\/span>):<\/span>\n    square_list = ()\n    <span class=\"hljs-keyword\">for<\/span> num <span class=\"hljs-keyword\">in<\/span> n:\n        square_list.append(num * num)\n\n    <span class=\"hljs-keyword\">return<\/span> square_list\n\nnums = (<span class=\"hljs-number\">2<\/span>, <span class=\"hljs-number\">4<\/span>, <span class=\"hljs-number\">6<\/span>, <span class=\"hljs-number\">8<\/span>, <span class=\"hljs-number\">10<\/span>)\n<span class=\"hljs-built_in\">print<\/span>(return_squares(nums))\n<\/code><\/pre>\n<p>\u0627\u06cc\u0646 <code>return_squares()<\/code> \u062a\u0627\u0628\u0639 \u0644\u06cc\u0633\u062a\u06cc \u0627\u0632 \u0627\u0639\u062f\u0627\u062f \u0635\u062d\u06cc\u062d \u0631\u0627 \u0645\u06cc \u067e\u0630\u06cc\u0631\u062f \u0648 \u0644\u06cc\u0633\u062a\u06cc \u0628\u0627 \u0645\u0631\u0628\u0639 \u0647\u0627\u06cc \u0645\u0631\u0628\u0648\u0637\u0647 \u0631\u0627 \u0628\u0631\u0645\u06cc \u06af\u0631\u062f\u0627\u0646\u062f.  \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0628\u0627\u06cc\u062f \u0628\u0647 \u0647\u0645\u0627\u0646 \u062a\u0639\u062f\u0627\u062f \u0622\u06cc\u062a\u0645 \u0647\u0627\u06cc\u06cc \u06a9\u0647 \u062f\u0631 \u0644\u06cc\u0633\u062a \u0648\u0631\u0648\u062f\u06cc \u0627\u0633\u062a \u062d\u0627\u0641\u0638\u0647 \u0627\u062e\u062a\u0635\u0627\u0635 \u062f\u0647\u062f.  \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646\u060c \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0641\u0636\u0627\u06cc\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0645\u06cc \u0634\u0648\u062f <em>\u0628\u0631)<\/em>.<\/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>\u0646\u0645\u0627\u062f Big-O \u0645\u0639\u06cc\u0627\u0631 \u0627\u0633\u062a\u0627\u0646\u062f\u0627\u0631\u062f\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0628\u0631\u0627\u06cc \u0627\u0646\u062f\u0627\u0632\u0647 \u06af\u06cc\u0631\u06cc \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f.  \u062f\u0631 \u0627\u06cc\u0646 \u0631\u0627\u0647\u0646\u0645\u0627\u060c \u0645\u0627 \u0646\u0634\u0627\u0646\u200c\u06af\u0630\u0627\u0631\u06cc Big-O \u0686\u06cc\u0633\u062a \u0648 \u0686\u06af\u0648\u0646\u0647 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0627\u0632 \u0622\u0646 \u0628\u0631\u0627\u06cc \u0627\u0646\u062f\u0627\u0632\u0647\u200c\u06af\u06cc\u0631\u06cc \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0627\u0646\u0648\u0627\u0639 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0631\u062f.  \u0645\u0627 \u0647\u0645\u0686\u0646\u06cc\u0646 \u0627\u0646\u0648\u0627\u0639 \u0645\u062e\u062a\u0644\u0641 \u062a\u0648\u0627\u0628\u0639 Big-O \u0631\u0627 \u0628\u0627 \u06a9\u0645\u06a9 \u0645\u062b\u0627\u0644 \u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0645\u0637\u0627\u0644\u0639\u0647 \u06a9\u0631\u062f\u06cc\u0645.  \u062f\u0631 \u0646\u0647\u0627\u06cc\u062a \u0628\u062f\u062a\u0631\u06cc\u0646 \u0648 \u0628\u0647\u062a\u0631\u06cc\u0646 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0645\u0648\u0631\u062f\u06cc \u0631\u0627 \u0628\u0647 \u0647\u0645\u0631\u0627\u0647 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0641\u0636\u0627 \u0628\u0647 \u0627\u062e\u062a\u0635\u0627\u0631 \u0628\u0631\u0631\u0633\u06cc \u06a9\u0631\u062f\u06cc\u0645.<\/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 1403-01-04 01:15:03<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;14078&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;\u0646\u0645\u0627\u062f\u06af\u0630\u0627\u0631\u06cc Big O \u0648 \u062a\u062c\u0632\u06cc\u0647 \u0648 \u062a\u062d\u0644\u06cc\u0644 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0628\u0627 \u0645\u062b\u0627\u0644 \u0647\u0627\u06cc \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\"> 9<\/span> <span class=\"rt-label rt-postfix\">\u062f\u0642\u06cc\u0642\u0647<\/span><\/span>\u0645\u0639\u0631\u0641\u06cc \u0645\u0639\u0645\u0648\u0644\u0627 \u0686\u0646\u062f\u06cc\u0646 \u0631\u0627\u0647 \u0628\u0631\u0627\u06cc \u062d\u0644 \u0645\u0634\u06a9\u0644 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u06cc\u06a9 \u0628\u0631\u0646\u0627\u0645\u0647 \u06a9\u0627\u0645\u067e\u06cc\u0648\u062a\u0631\u06cc \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f. \u0628\u0631\u0627\u06cc \u0645\u062b\u0627\u0644\u060c \u0686\u0646\u062f\u06cc\u0646 \u0631\u0648\u0634 \u0628\u0631\u0627\u06cc \u0645\u0631\u062a\u0628\u200c\u0633\u0627\u0632\u06cc \u0622\u06cc\u062a\u0645\u200c\u0647\u0627 \u062f\u0631 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f &#8211; \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u062f \u0627\u0632 \u0645\u0631\u062a\u0628\u200c\u0633\u0627\u0632\u06cc \u0627\u062f\u063a\u0627\u0645\u060c \u0645\u0631\u062a\u0628\u200c\u0633\u0627\u0632\u06cc \u062d\u0628\u0627\u0628\u06cc\u060c \u0645\u0631\u062a\u0628\u200c\u0633\u0627\u0632\u06cc \u062f\u0631\u062c \u0648 \u063a\u06cc\u0631\u0647 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 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[&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":14079,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1743,620],"tags":[],"class_list":["post-14078","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\/14078","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=14078"}],"version-history":[{"count":0,"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/posts\/14078\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/media\/14079"}],"wp:attachment":[{"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/media?parent=14078"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/categories?post=14078"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/tags?post=14078"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}