{"id":16438,"date":"2024-01-25T03:08:19","date_gmt":"2024-01-24T23:38:19","guid":{"rendered":"https:\/\/rasanegar.com\/blog\/%d8%a2%d8%b4%d9%86%d8%a7%db%8c%db%8c-%d8%a8%d8%a7-%d8%aa%d9%88%d8%a7%d8%a8%d8%b9-%d8%a8%d8%a7%d8%b2%da%af%d8%b4%d8%aa%db%8c-%d8%a8%d8%a7-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86\/"},"modified":"2024-01-25T03:08:19","modified_gmt":"2024-01-24T23:38:19","slug":"%d8%a2%d8%b4%d9%86%d8%a7%db%8c%db%8c-%d8%a8%d8%a7-%d8%aa%d9%88%d8%a7%d8%a8%d8%b9-%d8%a8%d8%a7%d8%b2%da%af%d8%b4%d8%aa%db%8c-%d8%a8%d8%a7-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86","status":"publish","type":"post","link":"https:\/\/rasanegaar.com\/blog\/%d8%a2%d8%b4%d9%86%d8%a7%db%8c%db%8c-%d8%a8%d8%a7-%d8%aa%d9%88%d8%a7%d8%a8%d8%b9-%d8%a8%d8%a7%d8%b2%da%af%d8%b4%d8%aa%db%8c-%d8%a8%d8%a7-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86\/","title":{"rendered":"\u0622\u0634\u0646\u0627\u06cc\u06cc \u0628\u0627 \u062a\u0648\u0627\u0628\u0639 \u0628\u0627\u0632\u06af\u0634\u062a\u06cc \u0628\u0627 \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-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a2%d8%b4%d9%86%d8%a7%db%8c%db%8c-%d8%a8%d8%a7-%d8%aa%d9%88%d8%a7%d8%a8%d8%b9-%d8%a8%d8%a7%d8%b2%da%af%d8%b4%d8%aa%db%8c-%d8%a8%d8%a7-%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-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a2%d8%b4%d9%86%d8%a7%db%8c%db%8c-%d8%a8%d8%a7-%d8%aa%d9%88%d8%a7%d8%a8%d8%b9-%d8%a8%d8%a7%d8%b2%da%af%d8%b4%d8%aa%db%8c-%d8%a8%d8%a7-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86\/#%d8%a8%d8%a7%d8%b2%da%af%d8%b4%d8%aa_%da%86%db%8c%d8%b3%d8%aa%d8%9f\" >\u0628\u0627\u0632\u06af\u0634\u062a \u0686\u06cc\u0633\u062a\u061f<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a2%d8%b4%d9%86%d8%a7%db%8c%db%8c-%d8%a8%d8%a7-%d8%aa%d9%88%d8%a7%d8%a8%d8%b9-%d8%a8%d8%a7%d8%b2%da%af%d8%b4%d8%aa%db%8c-%d8%a8%d8%a7-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86\/#%da%86%d8%b1%d8%a7_%d8%a7%d8%b2_%d8%ad%d9%84%d9%82%d9%87_%d8%a7%d8%b3%d8%aa%d9%81%d8%a7%d8%af%d9%87_%d9%86%d9%85%db%8c_%da%a9%d9%86%db%8c%d8%af%d8%9f\" >\u0686\u0631\u0627 \u0627\u0632 \u062d\u0644\u0642\u0647 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0646\u0645\u06cc \u06a9\u0646\u06cc\u062f\u061f<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a2%d8%b4%d9%86%d8%a7%db%8c%db%8c-%d8%a8%d8%a7-%d8%aa%d9%88%d8%a7%d8%a8%d8%b9-%d8%a8%d8%a7%d8%b2%da%af%d8%b4%d8%aa%db%8c-%d8%a8%d8%a7-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86\/#%d9%85%d8%ab%d8%a7%d9%84_%d9%87%d8%a7\" >\u0645\u062b\u0627\u0644 \u0647\u0627<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a2%d8%b4%d9%86%d8%a7%db%8c%db%8c-%d8%a8%d8%a7-%d8%aa%d9%88%d8%a7%d8%a8%d8%b9-%d8%a8%d8%a7%d8%b2%da%af%d8%b4%d8%aa%db%8c-%d8%a8%d8%a7-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86\/#%d9%85%d8%ac%d9%85%d9%88%d8%b9_%db%8c%da%a9_%d9%84%db%8c%d8%b3%d8%aa\" >\u0645\u062c\u0645\u0648\u0639 \u06cc\u06a9 \u0644\u06cc\u0633\u062a<\/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\/%d8%a2%d8%b4%d9%86%d8%a7%db%8c%db%8c-%d8%a8%d8%a7-%d8%aa%d9%88%d8%a7%d8%a8%d8%b9-%d8%a8%d8%a7%d8%b2%da%af%d8%b4%d8%aa%db%8c-%d8%a8%d8%a7-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86\/#%d8%a7%d8%b9%d8%af%d8%a7%d8%af_%d9%81%d8%a7%da%a9%d8%aa%d9%88%d8%b1%db%8c%d9%84\" >\u0627\u0639\u062f\u0627\u062f \u0641\u0627\u06a9\u062a\u0648\u0631\u06cc\u0644<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a2%d8%b4%d9%86%d8%a7%db%8c%db%8c-%d8%a8%d8%a7-%d8%aa%d9%88%d8%a7%d8%a8%d8%b9-%d8%a8%d8%a7%d8%b2%da%af%d8%b4%d8%aa%db%8c-%d8%a8%d8%a7-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86\/#%d8%af%d9%86%d8%a8%d8%a7%d9%84%d9%87_%d9%81%db%8c%d8%a8%d9%88%d9%86%d8%a7%da%86%db%8c\" >\u062f\u0646\u0628\u0627\u0644\u0647 \u0641\u06cc\u0628\u0648\u0646\u0627\u0686\u06cc<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a2%d8%b4%d9%86%d8%a7%db%8c%db%8c-%d8%a8%d8%a7-%d8%aa%d9%88%d8%a7%d8%a8%d8%b9-%d8%a8%d8%a7%d8%b2%da%af%d8%b4%d8%aa%db%8c-%d8%a8%d8%a7-%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\"> 5<\/span> <span class=\"rt-label rt-postfix\">\u062f\u0642\u06cc\u0642\u0647<\/span><\/span><p> <br \/>\n<\/p>\n<div><noscript><\/noscript><\/p>\n<h2 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><\/h2>\n<p>\u0648\u0642\u062a\u06cc \u0628\u0647 \u062a\u06a9\u0631\u0627\u0631 \u06cc\u06a9 \u06a9\u0627\u0631 \u0641\u06a9\u0631 \u0645\u06cc \u06a9\u0646\u06cc\u0645\u060c \u0645\u0639\u0645\u0648\u0644\u0627\u064b \u0628\u0647 \u0622\u0646 \u0641\u06a9\u0631 \u0645\u06cc \u06a9\u0646\u06cc\u0645 <code>for<\/code> \u0648 <code>while<\/code> \u062d\u0644\u0642\u0647 \u0647\u0627  \u0627\u06cc\u0646 \u0633\u0627\u0632\u0647\u200c\u0647\u0627 \u0628\u0647 \u0645\u0627 \u0627\u062c\u0627\u0632\u0647 \u0645\u06cc\u200c\u062f\u0647\u0646\u062f \u06a9\u0647 \u0627\u062c\u0631\u0627 \u06a9\u0646\u06cc\u0645 <strong>\u062a\u06a9\u0631\u0627\u0631<\/strong> \u0631\u0648\u06cc \u06cc\u06a9 \u0644\u06cc\u0633\u062a\u060c \u0645\u062c\u0645\u0648\u0639\u0647 \u0648 \u063a\u06cc\u0631\u0647<\/p>\n<p>\u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644\u060c \u0634\u06a9\u0644 \u062f\u06cc\u06af\u0631\u06cc \u0627\u0632 \u062a\u06a9\u0631\u0627\u0631 \u06cc\u06a9 \u06a9\u0627\u0631\u060c \u0628\u0647 \u0631\u0648\u0634\u06cc \u06a9\u0645\u06cc \u0645\u062a\u0641\u0627\u0648\u062a \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f.  \u0628\u0627 \u0641\u0631\u0627\u062e\u0648\u0627\u0646\u06cc \u06cc\u06a9 \u062a\u0627\u0628\u0639 \u062f\u0631 \u062f\u0631\u0648\u0646 \u062e\u0648\u062f\u060c \u0628\u0631\u0627\u06cc \u062d\u0644 \u06cc\u06a9 \u0646\u0645\u0648\u0646\u0647 \u06a9\u0648\u0686\u06a9\u062a\u0631 \u0627\u0632 \u0647\u0645\u0627\u0646 \u0645\u0634\u06a9\u0644\u060c \u062f\u0631 \u062d\u0627\u0644 \u0627\u0646\u062c\u0627\u0645 \u0647\u0633\u062a\u06cc\u0645 <strong>\u0628\u0627\u0632\u06af\u0634\u062a<\/strong>.<\/p>\n<p>\u0627\u06cc\u0646 \u062a\u0648\u0627\u0628\u0639 \u062a\u0627 \u0632\u0645\u0627\u0646\u06cc \u06a9\u0647 \u0645\u0634\u06a9\u0644 \u062d\u0644 \u0646\u0634\u0648\u062f\u060c \u062e\u0648\u062f \u0631\u0627 \u0635\u062f\u0627 \u0645\u06cc \u0632\u0646\u0646\u062f\u060c \u0648 \u0639\u0645\u0644\u0627\u064b \u0645\u0634\u06a9\u0644 \u0627\u0648\u0644\u06cc\u0647 \u0631\u0627 \u0628\u0647 \u0646\u0645\u0648\u0646\u0647 \u0647\u0627\u06cc \u06a9\u0648\u0686\u06a9\u062a\u0631 \u0632\u06cc\u0627\u062f\u06cc \u0627\u0632 \u062e\u0648\u062f \u062a\u0642\u0633\u06cc\u0645 \u0645\u06cc \u06a9\u0646\u0646\u062f &#8211; \u0645\u062b\u0644\u0627\u064b \u0644\u0642\u0645\u0647 \u0647\u0627\u06cc \u06a9\u0648\u0686\u06a9\u06cc \u0627\u0632 \u06cc\u06a9 \u062a\u06a9\u0647 \u063a\u0630\u0627\u06cc \u0628\u0632\u0631\u06af\u062a\u0631.<\/p>\n<p>\u0647\u062f\u0641 \u0646\u0647\u0627\u06cc\u06cc \u062e\u0648\u0631\u062f\u0646 \u06a9\u0644 \u0628\u0634\u0642\u0627\u0628 \u062c\u06cc\u0628 \u0647\u0627\u06cc \u062f\u0627\u063a \u0627\u0633\u062a\u060c \u0634\u0645\u0627 \u0627\u06cc\u0646 \u06a9\u0627\u0631 \u0631\u0627 \u0628\u0627 \u0644\u0642\u0645\u0647 \u0632\u062f\u0646 \u0628\u0627\u0631\u0647\u0627 \u0648 \u0628\u0627\u0631\u0647\u0627 \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc \u062f\u0647\u06cc\u062f.  \u0647\u0631 \u0644\u0642\u0645\u0647 \u06cc\u06a9 <strong>\u0628\u0627\u0632\u06af\u0634\u062a\u06cc<\/strong> \u0627\u0642\u062f\u0627\u0645\u06cc \u06a9\u0647 \u067e\u0633 \u0627\u0632 \u0622\u0646 \u062f\u0641\u0639\u0647 \u0628\u0639\u062f \u0647\u0645\u0627\u0646 \u0627\u0642\u062f\u0627\u0645 \u0631\u0627 \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc \u062f\u0647\u06cc\u062f.  \u0634\u0645\u0627 \u0627\u06cc\u0646 \u06a9\u0627\u0631 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0647\u0631 \u0644\u0642\u0645\u0647 \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc \u062f\u0647\u06cc\u062f \u0648 \u0627\u0631\u0632\u06cc\u0627\u0628\u06cc \u0645\u06cc \u06a9\u0646\u06cc\u062f \u06a9\u0647 \u0628\u0631\u0627\u06cc \u0631\u0633\u06cc\u062f\u0646 \u0628\u0647 \u0647\u062f\u0641 \u0628\u0627\u06cc\u062f \u06cc\u06a9 \u0644\u0642\u0645\u0647 \u062f\u06cc\u06af\u0631 \u0628\u0631\u062f\u0627\u0631\u06cc\u062f\u060c \u062a\u0627 \u0632\u0645\u0627\u0646\u06cc \u06a9\u0647 \u062c\u06cc\u0628 \u062f\u0627\u063a\u06cc \u0628\u0627\u0642\u06cc \u0646\u0645\u0627\u0646\u062f. \u0631\u0648\u06cc \u0628\u0634\u0642\u0627\u0628 \u0634\u0645\u0627<\/p>\n<h2 id=\"whatisrecursion\"><span class=\"ez-toc-section\" id=\"%d8%a8%d8%a7%d8%b2%da%af%d8%b4%d8%aa_%da%86%db%8c%d8%b3%d8%aa%d8%9f\"><\/span>\u0628\u0627\u0632\u06af\u0634\u062a \u0686\u06cc\u0633\u062a\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u0647\u0645\u0627\u0646\u0637\u0648\u0631 \u06a9\u0647 \u062f\u0631 \u0645\u0642\u062f\u0645\u0647 \u06af\u0641\u062a\u0647 \u0634\u062f\u060c <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/en.wikipedia.org\/wiki\/Recursion\">\u0628\u0627\u0632\u06af\u0634\u062a<\/a> \u0634\u0627\u0645\u0644 \u0627\u0644\u0641 process \u062e\u0648\u062f \u0631\u0627 \u062f\u0631 \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc \u0646\u0627\u0645\u062f.  \u06cc\u06a9 \u062a\u0627\u0628\u0639 \u0628\u0627\u0632\u06af\u0634\u062a\u06cc \u0628\u0647 \u0637\u0648\u0631 \u06a9\u0644\u06cc \u062f\u0627\u0631\u0627\u06cc \u062f\u0648 \u062c\u0632\u0621 \u0627\u0633\u062a:<\/p>\n<ul>\n<li>\u0631\u0627 <strong>\u0645\u0648\u0631\u062f \u067e\u0627\u06cc\u0647<\/strong> \u06a9\u0647 \u0634\u0631\u0637\u06cc \u0627\u0633\u062a \u06a9\u0647 \u062a\u0639\u06cc\u06cc\u0646 \u0645\u06cc \u06a9\u0646\u062f \u062a\u0627\u0628\u0639 \u0628\u0627\u0632\u06af\u0634\u062a\u06cc \u0686\u0647 \u0632\u0645\u0627\u0646\u06cc \u0628\u0627\u06cc\u062f \u0645\u062a\u0648\u0642\u0641 \u0634\u0648\u062f<\/li>\n<li>\u0641\u0631\u0627\u062e\u0648\u0627\u0646\u06cc \u0628\u0647 \u062e\u0648\u062f\u0634<\/li>\n<\/ul>\n<p>\u0628\u06cc\u0627\u06cc\u06cc\u062f \u0628\u0647 \u06cc\u06a9 \u0645\u062b\u0627\u0644 \u06a9\u0648\u0686\u06a9 \u0628\u0631\u0627\u06cc \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0646 \u0647\u0631 \u062f\u0648 \u0645\u0624\u0644\u0641\u0647 \u0646\u06af\u0627\u0647 \u06a9\u0646\u06cc\u0645:<\/p>\n<pre><code class=\"hljs\">\n<span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">hi_recursive<\/span>(<span class=\"hljs-params\">remaining<\/span>):<\/span>\n    \n    <span class=\"hljs-keyword\">if<\/span> remaining == <span class=\"hljs-number\">0<\/span>:\n        <span class=\"hljs-keyword\">return<\/span>\n    <span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-string\">'hi'<\/span>)\n\n    \n    hi_recursive(remaining - <span class=\"hljs-number\">1<\/span>)\n<\/code><\/pre>\n<p>\u0631\u0627 <strong>\u0645\u0648\u0631\u062f \u067e\u0627\u06cc\u0647<\/strong> \u0628\u0631\u0627\u06cc \u0645\u0627 \u0627\u06af\u0631 <code>remaining<\/code> \u0645\u062a\u063a\u06cc\u0631 \u0628\u0631\u0627\u0628\u0631 \u0627\u0633\u062a \u0628\u0627 <code>0<\/code> \u06cc\u0639\u0646\u06cc \u0686\u0646\u062f \u062a\u0627 \u0628\u0627\u0642\u06cc \u0645\u0627\u0646\u062f\u0647 \u0627\u0633\u062a <code>hi<\/code> \u0631\u0634\u062a\u0647 \u0645\u0627 \u0628\u0627\u06cc\u062f print.  \u062a\u0627\u0628\u0639 \u0628\u0647 \u0633\u0627\u062f\u06af\u06cc \u0628\u0631\u0645\u06cc \u06af\u0631\u062f\u062f.<\/p>\n<p>\u0628\u0639\u062f \u0627\u0632 print \u0628\u06cc\u0627\u0646\u06cc\u0647\u060c \u0645\u0627 \u062a\u0645\u0627\u0633 \u0645\u06cc \u06af\u06cc\u0631\u06cc\u0645 <code>hi_recursive<\/code> \u062f\u0648\u0628\u0627\u0631\u0647 \u0627\u0645\u0627 \u0628\u0627 \u0645\u0642\u062f\u0627\u0631 \u0628\u0627\u0642\u06cc\u0645\u0627\u0646\u062f\u0647 \u06a9\u0627\u0647\u0634 \u06cc\u0627\u0641\u062a\u0647.  \u0627\u06cc\u0646 \u0645\u0647\u0645 \u0627\u0633\u062a!  \u0627\u06af\u0631 \u0645\u0642\u062f\u0627\u0631 \u0622\u0646 \u0631\u0627 \u06a9\u0627\u0647\u0634 \u0646\u062f\u0647\u06cc\u0645 <code>remaining<\/code> \u062a\u0627\u0628\u0639 \u0628\u0647 \u0637\u0648\u0631 \u0646\u0627\u0645\u062d\u062f\u0648\u062f \u0627\u062c\u0631\u0627 \u062e\u0648\u0627\u0647\u062f \u0634\u062f.  \u0628\u0647 \u0637\u0648\u0631 \u06a9\u0644\u06cc\u060c \u0647\u0646\u06af\u0627\u0645\u06cc \u06a9\u0647 \u06cc\u06a9 \u062a\u0627\u0628\u0639 \u0628\u0627\u0632\u06af\u0634\u062a\u06cc \u062e\u0648\u062f \u0631\u0627 \u0641\u0631\u0627\u062e\u0648\u0627\u0646\u06cc \u0645\u06cc \u06a9\u0646\u062f\u060c \u067e\u0627\u0631\u0627\u0645\u062a\u0631\u0647\u0627 \u062a\u063a\u06cc\u06cc\u0631 \u0645\u06cc \u06a9\u0646\u0646\u062f \u062a\u0627 \u0628\u0647 \u062d\u0627\u0644\u062a \u067e\u0627\u06cc\u0647 \u0646\u0632\u062f\u06cc\u06a9\u062a\u0631 \u0634\u0648\u0646\u062f.<\/p>\n<p>\u0628\u06cc\u0627\u06cc\u06cc\u062f \u062a\u062c\u0633\u0645 \u06a9\u0646\u06cc\u0645 \u06a9\u0647 \u0648\u0642\u062a\u06cc \u062a\u0645\u0627\u0633 \u0645\u06cc \u06af\u06cc\u0631\u06cc\u0645 \u0686\u06af\u0648\u0646\u0647 \u06a9\u0627\u0631 \u0645\u06cc \u06a9\u0646\u062f <code>hi_recursive(3)<\/code>:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/rasanegar.com\/blog\/wp-content\/uploads\/2024\/01\/understanding-recursion-with-python-1.jpg\" alt=\"\u0645\u062b\u0627\u0644 hi_recursive\" title=\"\"><\/p>\n<p>\u067e\u0633 \u0627\u0632 \u0686\u0627\u067e \u062a\u0627\u0628\u0639 <code>hi<\/code>\u060c \u062e\u0648\u062f \u0631\u0627 \u0628\u0627 \u0645\u0642\u062f\u0627\u0631 \u06a9\u0645\u062a\u0631\u06cc \u0628\u0631\u0627\u06cc \u0641\u0631\u0627\u062e\u0648\u0627\u0646\u06cc \u0645\u06cc \u06a9\u0646\u062f <code>remaining<\/code> \u062a\u0627 \u0628\u0647 \u0622\u0646 \u0628\u0631\u0633\u062f <code>0<\/code>.  \u062f\u0631 \u0635\u0641\u0631\u060c \u062a\u0627\u0628\u0639 \u0628\u0647 \u062c\u0627\u06cc\u06cc \u06a9\u0647 \u0641\u0631\u0627\u062e\u0648\u0627\u0646\u06cc \u0634\u062f\u0647 \u0628\u0648\u062f \u0628\u0631\u0645\u06cc \u06af\u0631\u062f\u062f <code>hi_recursive(1)<\/code>\u060c \u06a9\u0647 \u0628\u0647 \u062c\u0627\u06cc\u06cc \u06a9\u0647 \u0641\u0631\u0627\u062e\u0648\u0627\u0646\u06cc \u0634\u062f\u0647 \u0628\u0631\u0645\u06cc \u06af\u0631\u062f\u062f <code>hi_recursive(2)<\/code> \u0648 \u062f\u0631 \u0646\u0647\u0627\u06cc\u062a \u0628\u0647 \u062c\u0627\u06cc\u06cc \u06a9\u0647 \u0641\u0631\u0627\u062e\u0648\u0627\u0646\u06cc \u0634\u062f\u0647 \u0628\u0648\u062f \u0628\u0631\u0645\u06cc \u06af\u0631\u062f\u062f <code>hi_recursive(3)<\/code>.<\/p>\n<h2 id=\"whynotusealoop\"><span class=\"ez-toc-section\" id=\"%da%86%d8%b1%d8%a7_%d8%a7%d8%b2_%d8%ad%d9%84%d9%82%d9%87_%d8%a7%d8%b3%d8%aa%d9%81%d8%a7%d8%af%d9%87_%d9%86%d9%85%db%8c_%da%a9%d9%86%db%8c%d8%af%d8%9f\"><\/span>\u0686\u0631\u0627 \u0627\u0632 \u062d\u0644\u0642\u0647 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0646\u0645\u06cc \u06a9\u0646\u06cc\u062f\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u062a\u0645\u0627\u0645 \u067e\u06cc\u0645\u0627\u06cc\u0634 \u0647\u0627 \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0627 \u062d\u0644\u0642\u0647 \u0647\u0627 \u0627\u0646\u062c\u0627\u0645 \u062f\u0627\u062f.  \u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644\u060c \u0628\u0631\u062e\u06cc \u0627\u0632 \u0645\u0634\u06a9\u0644\u0627\u062a \u0627\u063a\u0644\u0628 \u0628\u0627 \u0628\u0627\u0632\u06af\u0634\u062a \u0628\u0647 \u062c\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u0622\u0633\u0627\u0646\u200c\u062a\u0631 \u062d\u0644 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f.  \u06cc\u06a9 \u0645\u0648\u0631\u062f \u0631\u0627\u06cc\u062c \u0628\u0631\u0627\u06cc \u0628\u0627\u0632\u06af\u0634\u062a\u060c \u067e\u06cc\u0645\u0627\u06cc\u0634 \u062f\u0631\u062e\u062a \u0627\u0633\u062a:<\/p>\n<blockquote>\n<p>\u0639\u0628\u0648\u0631 \u0627\u0632 \u0645\u06cc\u0627\u0646 \u06af\u0631\u0647\u200c\u0647\u0627 \u0648 \u0628\u0631\u06af\u200c\u0647\u0627\u06cc \u062f\u0631\u062e\u062a \u0645\u0639\u0645\u0648\u0644\u0627\u064b \u0647\u0646\u06af\u0627\u0645 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0628\u0627\u0632\u06af\u0634\u062a \u0622\u0633\u0627\u0646\u200c\u062a\u0631 \u0627\u0633\u062a.  \u062d\u062a\u06cc \u0627\u06af\u0631 \u062d\u0644\u0642\u0647 \u0647\u0627 \u0648 \u0628\u0627\u0632\u06af\u0634\u062a \u0647\u0631 \u062f\u0648 \u0627\u0632 \u062f\u0631\u062e\u062a \u0639\u0628\u0648\u0631 \u0645\u06cc \u06a9\u0646\u0646\u062f\u060c \u0627\u0647\u062f\u0627\u0641 \u0645\u062a\u0641\u0627\u0648\u062a\u06cc \u062f\u0627\u0631\u0646\u062f &#8211; \u062d\u0644\u0642\u0647 \u0647\u0627 \u0628\u0631\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u06cc\u06a9 \u06a9\u0627\u0631 \u0647\u0633\u062a\u0646\u062f \u062f\u0631 \u062d\u0627\u0644\u06cc \u06a9\u0647 \u0628\u0627\u0632\u06af\u0634\u062a \u0628\u0647 \u0645\u0639\u0646\u0627\u06cc \u062a\u062c\u0632\u06cc\u0647 \u06cc\u06a9 \u06a9\u0627\u0631 \u0628\u0632\u0631\u06af \u0628\u0647 \u0648\u0638\u0627\u06cc\u0641 \u06a9\u0648\u0686\u06a9\u062a\u0631 \u0627\u0633\u062a.<\/p>\n<\/blockquote>\n<p>\u0628\u0627\u0632\u06af\u0634\u062a \u0628\u0627 \u062f\u0631\u062e\u062a\u0627\u0646 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644 \u0628\u0647 \u062e\u0648\u0628\u06cc \u0686\u0646\u06af\u0627\u0644 \u0686\u0648\u0646 \u0645\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 process \u06a9\u0644 \u062f\u0631\u062e\u062a \u0628\u0627 \u067e\u0631\u062f\u0627\u0632\u0634 \u0642\u0633\u0645\u062a \u0647\u0627\u06cc \u06a9\u0648\u0686\u06a9\u062a\u0631 \u062f\u0631\u062e\u062a \u0628\u0647 \u0635\u0648\u0631\u062a \u062c\u062f\u0627\u06af\u0627\u0646\u0647.<\/p>\n<h2 id=\"examples\"><span class=\"ez-toc-section\" id=\"%d9%85%d8%ab%d8%a7%d9%84_%d9%87%d8%a7\"><\/span>\u0645\u062b\u0627\u0644 \u0647\u0627<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u0628\u0647\u062a\u0631\u06cc\u0646 \u0631\u0627\u0647 \u0628\u0631\u0627\u06cc \u0631\u0627\u062d\u062a \u0634\u062f\u0646 \u0628\u0627 \u0628\u0627\u0632\u06af\u0634\u062a\u060c \u06cc\u0627 \u0647\u0631 \u0645\u0641\u0647\u0648\u0645 \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc\u060c \u062a\u0645\u0631\u06cc\u0646 \u0622\u0646 \u0627\u0633\u062a.  \u0627\u06cc\u062c\u0627\u062f \u062a\u0648\u0627\u0628\u0639 \u0628\u0627\u0632\u06af\u0634\u062a\u06cc \u0633\u0627\u062f\u0647 \u0627\u0633\u062a: \u062d\u062a\u0645\u0627\u064b \u062d\u0631\u0648\u0641 \u067e\u0627\u06cc\u0647 \u062e\u0648\u062f \u0631\u0627 \u0648\u0627\u0631\u062f \u06a9\u0646\u06cc\u062f \u0648 \u062a\u0627\u0628\u0639 \u0631\u0627 \u0637\u0648\u0631\u06cc \u0641\u0631\u0627\u062e\u0648\u0627\u0646\u06cc \u06a9\u0646\u06cc\u062f \u06a9\u0647 \u0628\u0647 \u062d\u0631\u0648\u0641 \u0627\u0635\u0644\u06cc \u0646\u0632\u062f\u06cc\u06a9\u062a\u0631 \u0634\u0648\u062f.<\/p>\n<h3 id=\"sumofalist\"><span class=\"ez-toc-section\" id=\"%d9%85%d8%ac%d9%85%d9%88%d8%b9_%db%8c%da%a9_%d9%84%db%8c%d8%b3%d8%aa\"><\/span>\u0645\u062c\u0645\u0648\u0639 \u06cc\u06a9 \u0644\u06cc\u0633\u062a<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u067e\u0627\u06cc\u062a\u0648\u0646 \u0634\u0627\u0645\u0644 \u06cc\u06a9 <code>sum<\/code> \u0639\u0645\u0644\u06a9\u0631\u062f \u0628\u0631\u0627\u06cc \u0644\u06cc\u0633\u062a \u0647\u0627  \u067e\u06cc\u0627\u062f\u0647 \u0633\u0627\u0632\u06cc \u067e\u06cc\u0634 \u0641\u0631\u0636 \u067e\u0627\u06cc\u062a\u0648\u0646\u060c CPython\u060c \u0627\u0632 \u06cc\u06a9 \u062d\u0644\u0642\u0647 for \u0646\u0627\u0645\u062d\u062f\u0648\u062f \u062f\u0631 C \u0628\u0631\u0627\u06cc \u0627\u06cc\u062c\u0627\u062f \u0622\u0646 \u062a\u0648\u0627\u0628\u0639 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u062f (\u06a9\u062f \u0645\u0646\u0628\u0639 <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/github.com\/python\/cpython\/blob\/master\/Python\/bltinmodule.c#L2285\">\u0627\u06cc\u0646\u062c\u0627<\/a> \u0628\u0631\u0627\u06cc \u0639\u0644\u0627\u0642\u0647 \u0645\u0646\u062f\u0627\u0646).  \u0628\u06cc\u0627\u06cc\u06cc\u062f \u0628\u0628\u06cc\u0646\u06cc\u0645 \u0686\u06af\u0648\u0646\u0647 \u0627\u06cc\u0646 \u06a9\u0627\u0631 \u0631\u0627 \u0628\u0627 \u0628\u0627\u0632\u06af\u0634\u062a \u0627\u0646\u062c\u0627\u0645 \u062f\u0647\u06cc\u0645:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">sum_recursive<\/span>(<span class=\"hljs-params\">nums<\/span>):<\/span>\n    <span class=\"hljs-keyword\">if<\/span> <span class=\"hljs-built_in\">len<\/span>(nums) == <span class=\"hljs-number\">0<\/span>:\n        <span class=\"hljs-keyword\">return<\/span> <span class=\"hljs-number\">0<\/span>\n\n    last_num = nums.pop()\n    <span class=\"hljs-keyword\">return<\/span> last_num + sum_recursive(nums)\n<\/code><\/pre>\n<p>\u0645\u0648\u0631\u062f \u067e\u0627\u06cc\u0647 \u0644\u06cc\u0633\u062a \u062e\u0627\u0644\u06cc \u0627\u0633\u062a &#8211; \u0628\u0647\u062a\u0631\u06cc\u0646 <code>sum<\/code> \u0628\u0631\u0627\u06cc \u0622\u0646 \u0627\u0633\u062a <code>0<\/code>.  \u067e\u0633 \u0627\u0632 \u0631\u0633\u06cc\u062f\u06af\u06cc \u0628\u0647 \u06a9\u06cc\u0633 \u067e\u0627\u06cc\u0647 \u062e\u0648\u062f\u060c \u0622\u062e\u0631\u06cc\u0646 \u0645\u0648\u0631\u062f \u0627\u0632 \u0644\u06cc\u0633\u062a \u0631\u0627 \u062d\u0630\u0641 \u0645\u06cc \u06a9\u0646\u06cc\u0645.  \u0645\u0627 \u062f\u0631 \u0646\u0647\u0627\u06cc\u062a \u0628\u0647 <code>sum_recursive<\/code> \u0628\u0627 \u0644\u06cc\u0633\u062a \u06a9\u0627\u0647\u0634 \u06cc\u0627\u0641\u062a\u0647 \u0639\u0645\u0644 \u06a9\u0646\u06cc\u062f \u0648 \u0639\u062f\u062f\u06cc \u0631\u0627 \u06a9\u0647 \u062e\u0627\u0631\u062c \u06a9\u0631\u062f\u06cc\u0645 \u0628\u0647 \u06a9\u0644 \u0627\u0636\u0627\u0641\u0647 \u0645\u06cc \u06a9\u0646\u06cc\u0645.<\/p>\n<p>\u062f\u0631 \u0645\u0641\u0633\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 <code>sum((10, 5, 2))<\/code> \u0648 <code>sum_recursive((10, 5, 2))<\/code> \u0647\u0631 \u062f\u0648 \u0628\u0627\u06cc\u062f \u0628\u0647 \u0634\u0645\u0627 \u0628\u062f\u0647\u0646\u062f <code>17<\/code>.<\/p>\n<h3 id=\"factorialnumbers\"><span class=\"ez-toc-section\" id=\"%d8%a7%d8%b9%d8%af%d8%a7%d8%af_%d9%81%d8%a7%da%a9%d8%aa%d9%88%d8%b1%db%8c%d9%84\"><\/span>\u0627\u0639\u062f\u0627\u062f \u0641\u0627\u06a9\u062a\u0648\u0631\u06cc\u0644<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0628\u0647 \u062e\u0627\u0637\u0631 \u0628\u06cc\u0627\u0648\u0631\u06cc\u062f \u06a9\u0647 \u0627\u0644\u0641 <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/en.wikipedia.org\/wiki\/Factorial\">\u0641\u0627\u06a9\u062a\u0648\u0631\u06cc\u0644<\/a> \u06cc\u06a9 \u0639\u062f\u062f \u0635\u062d\u06cc\u062d \u0645\u062b\u0628\u062a\u060c \u062d\u0627\u0635\u0644\u0636\u0631\u0628 \u062a\u0645\u0627\u0645 \u0627\u0639\u062f\u0627\u062f \u0635\u062d\u06cc\u062d \u0642\u0628\u0644 \u0627\u0632 \u0622\u0646 \u0627\u0633\u062a.  \u0645\u062b\u0627\u0644 \u0632\u06cc\u0631 \u0622\u0646 \u0631\u0627 \u0648\u0627\u0636\u062d \u062a\u0631 \u0645\u06cc \u06a9\u0646\u062f:<\/p>\n<pre><code class=\"hljs\">5! = 5 x 4 x 3 x 2 x 1 = 120\n<\/code><\/pre>\n<p>\u0639\u0644\u0627\u0645\u062a \u062a\u0639\u062c\u0628 \u06cc\u06a9 \u0641\u0627\u06a9\u062a\u0648\u0631\u06cc\u0644 \u0631\u0627 \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f \u0648 \u0645\u06cc \u0628\u06cc\u0646\u06cc\u0645 \u06a9\u0647 \u0636\u0631\u0628 \u0645\u06cc \u06a9\u0646\u06cc\u0645 <code>5<\/code> \u0628\u0627 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u062a\u0645\u0627\u0645 \u0627\u0639\u062f\u0627\u062f \u0635\u062d\u06cc\u062d \u0627\u0632 <code>4<\/code> \u062a\u0627 <code>1<\/code>.  \u0627\u06af\u0647 \u06a9\u0633\u06cc \u0648\u0627\u0631\u062f \u0628\u0634\u0647 \u0686\u06cc <code>0<\/code>?  \u0627\u06cc\u0646 \u0628\u0647 \u0637\u0648\u0631 \u06af\u0633\u062a\u0631\u062f\u0647 \u0627\u06cc \u062f\u0631\u06a9 \u0648 \u0627\u062b\u0628\u0627\u062a \u0634\u062f\u0647 \u0627\u0633\u062a <code>0! = 1<\/code>.  \u062d\u0627\u0644\u0627 \u0628\u06cc\u0627\u06cc\u06cc\u062f \u06cc\u06a9 \u062a\u0627\u0628\u0639 \u0645\u0627\u0646\u0646\u062f \u0632\u06cc\u0631 \u0627\u06cc\u062c\u0627\u062f \u06a9\u0646\u06cc\u0645:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">factorial<\/span>(<span class=\"hljs-params\">n<\/span>):<\/span>\n    <span class=\"hljs-keyword\">if<\/span> n == <span class=\"hljs-number\">0<\/span> <span class=\"hljs-keyword\">or<\/span> n == <span class=\"hljs-number\">1<\/span>:\n        <span class=\"hljs-keyword\">return<\/span> <span class=\"hljs-number\">1<\/span>\n    <span class=\"hljs-keyword\">return<\/span> n * factorial(n - <span class=\"hljs-number\">1<\/span>)\n<\/code><\/pre>\n<p>\u0645\u0627 \u0628\u0631\u0627\u06cc \u0645\u0648\u0627\u0631\u062f\u06cc \u06a9\u0647 <code>1<\/code> \u06cc\u0627 <code>0<\/code> \u0648\u0627\u0631\u062f \u0645\u06cc \u0634\u0648\u062f \u0648 \u062f\u0631 \u063a\u06cc\u0631 \u0627\u06cc\u0646 \u0635\u0648\u0631\u062a \u0639\u062f\u062f \u0641\u0639\u0644\u06cc \u0631\u0627 \u062f\u0631 \u0641\u0627\u06a9\u062a\u0648\u0631\u06cc\u0644 \u0639\u062f\u062f \u06a9\u0627\u0647\u0634 \u06cc\u0627\u0641\u062a\u0647 \u0636\u0631\u0628 \u0645\u06cc \u06a9\u0646\u06cc\u0645 <code>1<\/code>.<\/p>\n<p>\u06cc\u06a9 \u062a\u0623\u06cc\u06cc\u062f \u0633\u0627\u062f\u0647 \u062f\u0631 \u0645\u0641\u0633\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0634\u0645\u0627 \u0627\u06cc\u0646 \u0631\u0627 \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f <code>factorial(5)<\/code> \u0628\u0647 \u0634\u0645\u0627 \u0645\u06cc \u062f\u0647\u062f <code>120<\/code>.<\/p>\n<h3 id=\"fibonaccisequence\"><span class=\"ez-toc-section\" id=\"%d8%af%d9%86%d8%a8%d8%a7%d9%84%d9%87_%d9%81%db%8c%d8%a8%d9%88%d9%86%d8%a7%da%86%db%8c\"><\/span>\u062f\u0646\u0628\u0627\u0644\u0647 \u0641\u06cc\u0628\u0648\u0646\u0627\u0686\u06cc<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u0622 <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/en.wikipedia.org\/wiki\/Fibonacci_number\">\u062f\u0646\u0628\u0627\u0644\u0647 \u0641\u06cc\u0628\u0648\u0646\u0627\u0686\u06cc<\/a> \u0639\u062f\u062f\u06cc \u0627\u0633\u062a \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u0647\u0631 \u0639\u062f\u062f \u062d\u0627\u0635\u0644 \u062c\u0645\u0639 \u062f\u0648 \u0639\u062f\u062f \u0628\u0639\u062f\u06cc \u0627\u0633\u062a.  \u0627\u06cc\u0646 \u062f\u0646\u0628\u0627\u0644\u0647 \u0641\u0631\u0636 \u0645\u06cc \u06a9\u0646\u062f \u06a9\u0647 \u0627\u0639\u062f\u0627\u062f \u0641\u06cc\u0628\u0648\u0646\u0627\u0686\u06cc \u0628\u0631\u0627\u06cc 0 \u0648 1 \u0646\u06cc\u0632 0 \u0648 1 \u0647\u0633\u062a\u0646\u062f. \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646\u060c \u0645\u0639\u0627\u062f\u0644 \u0641\u06cc\u0628\u0648\u0646\u0627\u0686\u06cc \u0628\u0631\u0627\u06cc 2\u060c 1 \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f.<\/p>\n<p>\u0628\u06cc\u0627\u06cc\u06cc\u062f \u062f\u0646\u0628\u0627\u0644\u0647 \u0648 \u0627\u0639\u062f\u0627\u062f \u0637\u0628\u06cc\u0639\u06cc \u0645\u0631\u0628\u0648\u0637 \u0628\u0647 \u0622\u0646\u0647\u0627 \u0631\u0627 \u0628\u0628\u06cc\u0646\u06cc\u0645:<\/p>\n<pre><code class=\"hljs\">    Integers:   0, 1, 2, 3, 4, 5, 6, 7\n    Fibonacci:  0, 1, 1, 2, 3, 5, 8, 13\n<\/code><\/pre>\n<p>\u0645\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u0628\u0647 \u0631\u0627\u062d\u062a\u06cc \u062a\u0627\u0628\u0639\u06cc \u0631\u0627 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u06a9\u062f\u0646\u0648\u06cc\u0633\u06cc \u06a9\u0646\u06cc\u0645 \u062a\u0627 \u0645\u0639\u0627\u062f\u0644 \u0641\u06cc\u0628\u0648\u0646\u0627\u0686\u06cc \u0631\u0627 \u0628\u0631\u0627\u06cc \u0647\u0631 \u0639\u062f\u062f \u0635\u062d\u06cc\u062d \u0645\u062b\u0628\u062a \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0628\u0627\u0632\u06af\u0634\u062a \u062a\u0639\u06cc\u06cc\u0646 \u06a9\u0646\u06cc\u0645:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">fibonacci<\/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\">0<\/span>\n    <span class=\"hljs-keyword\">if<\/span> n == <span class=\"hljs-number\">1<\/span>:\n        <span class=\"hljs-keyword\">return<\/span> <span class=\"hljs-number\">1<\/span>\n    <span class=\"hljs-keyword\">return<\/span> fibonacci(n - <span class=\"hljs-number\">1<\/span>) + fibonacci(n - <span class=\"hljs-number\">2<\/span>)\n<\/code><\/pre>\n<p>\u0628\u0627 \u0628\u0631\u0631\u0633\u06cc \u0622\u0646 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u062a\u0623\u06cc\u06cc\u062f \u06a9\u0646\u06cc\u062f \u06a9\u0647 \u0647\u0645\u0627\u0646\u0637\u0648\u0631 \u06a9\u0647 \u0627\u0646\u062a\u0638\u0627\u0631 \u0645\u06cc \u0631\u0648\u062f \u06a9\u0627\u0631 \u0645\u06cc \u06a9\u0646\u062f <code>fibonacci(6)<\/code> \u0628\u0631\u0627\u0628\u0631 \u0627\u0633\u062a <code>8<\/code>.<\/p>\n<p>\u0627\u06a9\u0646\u0648\u0646 \u0645\u06cc \u062e\u0648\u0627\u0647\u0645 \u067e\u06cc\u0627\u062f\u0647 \u0633\u0627\u0632\u06cc \u062f\u06cc\u06af\u0631\u06cc \u0627\u0632 \u0627\u06cc\u0646 \u062a\u0627\u0628\u0639 \u0631\u0627 \u062f\u0631 \u0646\u0638\u0631 \u0628\u06af\u06cc\u0631\u06cc\u062f \u06a9\u0647 \u0627\u0632 \u06cc\u06a9 \u062d\u0644\u0642\u0647 for \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u062f:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">fibonacci_iterative<\/span>(<span class=\"hljs-params\">n<\/span>):<\/span>\n    <span class=\"hljs-keyword\">if<\/span> n &lt;= <span class=\"hljs-number\">1<\/span>:\n        <span class=\"hljs-keyword\">return<\/span> n\n\n    a = <span class=\"hljs-number\">0<\/span>\n    b = <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        temp = a\n        a = b\n        b = b + temp\n    <span class=\"hljs-keyword\">return<\/span> a\n<\/code><\/pre>\n<p>\u0627\u06af\u0631 \u0639\u062f\u062f \u0635\u062d\u06cc\u062d \u06a9\u0648\u0686\u06a9\u062a\u0631 \u06cc\u0627 \u0645\u0633\u0627\u0648\u06cc 1 \u0628\u0627\u0634\u062f\u060c \u0622\u0646 \u0631\u0627 \u0628\u0631\u06af\u0631\u062f\u0627\u0646\u06cc\u062f.  \u0627\u06a9\u0646\u0648\u0646 \u06a9\u0647 \u067e\u0631\u0648\u0646\u062f\u0647 \u067e\u0627\u06cc\u0647 \u0645\u0627 \u0631\u0633\u06cc\u062f\u06af\u06cc \u0634\u062f\u0647 \u0627\u0633\u062a.  \u0628\u0627 \u0630\u062e\u06cc\u0631\u0647 \u0639\u062f\u062f \u0627\u0648\u0644 \u062f\u0631 a \u0628\u0647 \u0637\u0648\u0631 \u067e\u06cc\u0648\u0633\u062a\u0647 \u0639\u062f\u062f \u0627\u0648\u0644 \u0631\u0627 \u0628\u0627 \u0639\u062f\u062f \u062f\u0648\u0645 \u062c\u0645\u0639 \u0645\u06cc \u06a9\u0646\u06cc\u0645 <code>temp<\/code> \u0645\u062a\u063a\u06cc\u0631 \u0642\u0628\u0644 \u0627\u0632 \u0627\u06cc\u0646\u06a9\u0647 \u0622\u0646 \u0631\u0627 \u0628\u0647 \u0631\u0648\u0632 \u06a9\u0646\u06cc\u0645.<\/p>\n<p>\u062e\u0631\u0648\u062c\u06cc \u0645\u0634\u0627\u0628\u0647 \u0627\u0648\u0644\u06cc \u0627\u0633\u062a <code>fibonacci()<\/code> \u062a\u0627\u0628\u0639.  \u0627\u06cc\u0646 \u0646\u0633\u062e\u0647 \u0633\u0631\u06cc\u0639\u062a\u0631 \u0627\u0632 \u0646\u0633\u062e\u0647 \u0628\u0627\u0632\u06af\u0634\u062a\u06cc \u0627\u0633\u062a\u060c \u0632\u06cc\u0631\u0627 \u067e\u06cc\u0627\u062f\u0647 \u0633\u0627\u0632\u06cc \u0647\u0627\u06cc \u067e\u0627\u06cc\u062a\u0648\u0646 \u0628\u0631\u0627\u06cc \u0628\u0627\u0632\u06af\u0634\u062a \u0628\u0647\u06cc\u0646\u0647 \u0646\u0634\u062f\u0647 \u0627\u0646\u062f\u060c \u0627\u0645\u0627 \u0628\u0627 \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0636\u0631\u0648\u0631\u06cc \u0628\u0631\u062a\u0631\u06cc \u0645\u06cc \u06cc\u0627\u0628\u0646\u062f.  \u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644\u060c \u0631\u0627\u0647 \u062d\u0644 \u0628\u0647 \u0633\u0627\u062f\u06af\u06cc \u0627\u0648\u0644\u06cc\u0646 \u062a\u0644\u0627\u0634 \u0645\u0627 \u0642\u0627\u0628\u0644 \u062e\u0648\u0627\u0646\u062f\u0646 \u0646\u06cc\u0633\u062a.  \u06cc\u06a9\u06cc \u0627\u0632 \u0628\u0632\u0631\u06af\u062a\u0631\u06cc\u0646 \u0646\u0642\u0627\u0637 \u0642\u0648\u062a \u0628\u0627\u0632\u06af\u0634\u062a \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f: <em>\u0638\u0631\u0627\u0641\u062a<\/em>.  \u0628\u0631\u062e\u06cc \u0627\u0632 \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627\u06cc \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0628\u0647 \u0637\u0648\u0631 \u0637\u0628\u06cc\u0639\u06cc \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0628\u0627\u0632\u06af\u0634\u062a \u062d\u0644 \u0645\u06cc \u0634\u0648\u0646\u062f.<\/p>\n<h2 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><\/h2>\n<p>\u0628\u0627\u0632\u06af\u0634\u062a \u0628\u0647 \u0645\u0627 \u0627\u062c\u0627\u0632\u0647 \u0645\u06cc \u062f\u0647\u062f \u062a\u0627 \u0628\u0627 \u0641\u0631\u0627\u062e\u0648\u0627\u0646\u06cc \u0645\u06a9\u0631\u0631 \u06cc\u06a9 \u06a9\u0627\u0631 \u0628\u0632\u0631\u06af \u0631\u0627 \u0628\u0647 \u0648\u0638\u0627\u06cc\u0641 \u06a9\u0648\u0686\u06a9\u062a\u0631 \u062a\u0642\u0633\u06cc\u0645 \u06a9\u0646\u06cc\u0645.  \u06cc\u06a9 \u062a\u0627\u0628\u0639 \u0628\u0627\u0632\u06af\u0634\u062a\u06cc \u0646\u06cc\u0627\u0632 \u0628\u0647 \u06cc\u06a9 \u062d\u0627\u0644\u062a \u067e\u0627\u06cc\u0647 \u0628\u0631\u0627\u06cc \u062a\u0648\u0642\u0641 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         !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 1403-01-25 03:08:05<br \/>\n<\/p>\n\n\n<div class=\"kk-star-ratings kksr-auto 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