{"id":4850,"date":"2026-09-18T04:22:13","date_gmt":"2026-09-18T04:22:13","guid":{"rendered":"https:\/\/otus.ru\/journal\/?p=4850"},"modified":"2026-09-25T15:46:45","modified_gmt":"2026-09-25T15:46:45","slug":"sortirovka-osnovnye-principy","status":"publish","type":"post","link":"https:\/\/otus.ru\/journal\/sortirovka-osnovnye-principy\/","title":{"rendered":"\u0421\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0430: \u043e\u0441\u043d\u043e\u0432\u043d\u044b\u0435 \u043f\u0440\u0438\u043d\u0446\u0438\u043f\u044b \u0438 \u0441\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u043e\u0432"},"content":{"rendered":"<p><strong>\u0421\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0430<\/strong> &#8212; \u044d\u0442\u043e \u043f\u0435\u0440\u0435\u0441\u0442\u0430\u043d\u043e\u0432\u043a\u0430 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u043e\u0432 \u043c\u0430\u0441\u0441\u0438\u0432\u0430 \u0438\u043b\u0438 \u0441\u043f\u0438\u0441\u043a\u0430 \u0432 \u0437\u0430\u0434\u0430\u043d\u043d\u043e\u043c \u043f\u043e\u0440\u044f\u0434\u043a\u0435: \u043f\u043e \u0432\u043e\u0437\u0440\u0430\u0441\u0442\u0430\u043d\u0438\u044e, \u043f\u043e \u0443\u0431\u044b\u0432\u0430\u043d\u0438\u044e \u0438\u043b\u0438 \u043f\u043e \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u043b\u044c\u043d\u043e\u043c\u0443 \u043a\u043b\u044e\u0447\u0443. \u0417\u0430\u0434\u0430\u0447\u0430 \u043e\u0434\u043d\u0430, \u0430 \u0441\u043f\u043e\u0441\u043e\u0431\u043e\u0432 \u0435\u0435 \u0440\u0435\u0448\u0438\u0442\u044c \u043c\u043d\u043e\u0433\u043e, \u0438 \u0440\u0430\u0437\u043b\u0438\u0447\u0430\u044e\u0442\u0441\u044f \u043e\u043d\u0438 \u043d\u0435 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u043e\u043c, \u0430 \u0442\u0435\u043c, \u043a\u0430\u043a \u0431\u044b\u0441\u0442\u0440\u043e \u0440\u0430\u0431\u043e\u0442\u0430\u044e\u0442 \u0438 \u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u0430\u043c\u044f\u0442\u0438 \u0442\u0440\u0435\u0431\u0443\u044e\u0442. \u041d\u0438\u0436\u0435 \u0440\u0430\u0437\u0431\u0435\u0440\u0443 \u043f\u044f\u0442\u044c \u0431\u0430\u0437\u043e\u0432\u044b\u0445 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u043e\u0432 &#8212; \u043f\u0443\u0437\u044b\u0440\u044c\u043a\u043e\u043c, \u0432\u0441\u0442\u0430\u0432\u043a\u0430\u043c\u0438, \u0432\u044b\u0431\u043e\u0440\u043e\u043c, \u0431\u044b\u0441\u0442\u0440\u0443\u044e \u0438 \u0441\u043b\u0438\u044f\u043d\u0438\u0435\u043c: \u0438\u0434\u0435\u044e \u043a\u0430\u0436\u0434\u043e\u0433\u043e, \u0441\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c \u0432 O-\u043d\u043e\u0442\u0430\u0446\u0438\u0438 \u0438 \u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u043e\u0441\u0442\u044c. \u041f\u0440\u043e\u0433\u043e\u043d\u0438\u043c \u043e\u0434\u0438\u043d \u0438\u0437 \u043d\u0438\u0445 \u0440\u0443\u043a\u0430\u043c\u0438 \u0438 \u043a\u043e\u0434\u043e\u043c \u043d\u0430 Python, \u0430 \u0432 \u043a\u043e\u043d\u0446\u0435 \u0431\u0443\u0434\u0435\u0442 \u0442\u0430\u0431\u043b\u0438\u0446\u0430 \u0441\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0438 \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u0432\u044b\u0431\u043e\u0440\u0430.<\/p>\n<div class=\"oj-toc\" style=\"background:#f6f6f6;border-radius:8px;padding:14px 20px;margin:20px 0\">\n<p><strong>\u0421\u043e\u0434\u0435\u0440\u0436\u0430\u043d\u0438\u0435<\/strong><\/p>\n<ol>\n<li><a href=\"#s1\">\u0422\u0440\u0438 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430, \u043f\u043e \u043a\u043e\u0442\u043e\u0440\u044b\u043c \u0441\u0440\u0430\u0432\u043d\u0438\u0432\u0430\u044e\u0442 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b<\/a><\/li>\n<li><a href=\"#s2\">\u041f\u0443\u0437\u044b\u0440\u044c\u043a\u043e\u0432\u0430\u044f \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0430: \u043f\u0440\u043e\u0433\u043e\u043d \u0440\u0443\u043a\u0430\u043c\u0438<\/a><\/li>\n<li><a href=\"#s3\">\u0412\u0441\u0442\u0430\u0432\u043a\u0430\u043c\u0438 \u0438 \u0432\u044b\u0431\u043e\u0440\u043e\u043c: \u0434\u0432\u0435 \u0434\u0440\u0443\u0433\u0438\u0435 \u043f\u0440\u043e\u0441\u0442\u044b\u0435 \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0438<\/a><\/li>\n<li><a href=\"#s4\">\u0411\u044b\u0441\u0442\u0440\u0430\u044f \u0438 \u0441\u043b\u0438\u044f\u043d\u0438\u0435\u043c: \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0438 \u0437\u0430 O(n log n)<\/a><\/li>\n<li><a href=\"#s5\">\u0422\u0430\u0431\u043b\u0438\u0446\u0430 \u0441\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f<\/a><\/li>\n<li><a href=\"#s6\">\u041a\u043e\u0433\u0434\u0430 \u043a\u0430\u043a\u043e\u0439 \u0432\u044b\u0431\u0438\u0440\u0430\u0442\u044c<\/a><\/li>\n<li><a href=\"#s7\">\u0412\u044b\u0432\u043e\u0434\u044b<\/a><\/li>\n<li><a href=\"#s8\">\u0413\u0434\u0435 \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f \/ \u0441\u0432\u044f\u0437\u044c \u0441 \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0439<\/a><\/li>\n<li><a href=\"#s9\">FAQ<\/a><\/li>\n<\/ol>\n<\/div>\n<h2 id=\"s1\">\u0422\u0440\u0438 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430, \u043f\u043e \u043a\u043e\u0442\u043e\u0440\u044b\u043c \u0441\u0440\u0430\u0432\u043d\u0438\u0432\u0430\u044e\u0442 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b<\/h2>\n<p>\u041f\u0440\u0435\u0436\u0434\u0435 \u0447\u0435\u043c \u0441\u0440\u0430\u0432\u043d\u0438\u0432\u0430\u0442\u044c, \u0440\u0430\u0437\u0432\u0435\u0434\u0443 \u0442\u0440\u0438 \u043f\u043e\u043d\u044f\u0442\u0438\u044f, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0447\u0430\u0441\u0442\u043e \u043f\u0443\u0442\u0430\u044e\u0442.<\/p>\n<p><strong>\u0412\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f \u0441\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c O()<\/strong> &#8212; \u043a\u0430\u043a \u0440\u0430\u0441\u0442\u0435\u0442 \u0447\u0438\u0441\u043b\u043e \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0439 \u043f\u0440\u0438 \u0443\u0432\u0435\u043b\u0438\u0447\u0435\u043d\u0438\u0438 \u0440\u0430\u0437\u043c\u0435\u0440\u0430 \u043c\u0430\u0441\u0441\u0438\u0432\u0430 n. O(n^2) \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442: \u0443\u0434\u0432\u043e\u0438\u043b\u0438 \u043c\u0430\u0441\u0441\u0438\u0432 &#8212; \u0440\u0430\u0431\u043e\u0442\u044b \u0441\u0442\u0430\u043b\u043e \u0432\u0447\u0435\u0442\u0432\u0435\u0440\u043e \u0431\u043e\u043b\u044c\u0448\u0435. O(n log n) \u0440\u0430\u0441\u0442\u0435\u0442 \u043d\u0430\u043c\u043d\u043e\u0433\u043e \u043c\u0435\u0434\u043b\u0435\u043d\u043d\u0435\u0435. \u0423 \u043e\u0434\u043d\u043e\u0433\u043e \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430 \u0441\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c \u043c\u043e\u0436\u0435\u0442 \u043e\u0442\u043b\u0438\u0447\u0430\u0442\u044c\u0441\u044f \u0432 \u043b\u0443\u0447\u0448\u0435\u043c, \u0441\u0440\u0435\u0434\u043d\u0435\u043c \u0438 \u0445\u0443\u0434\u0448\u0435\u043c \u0441\u043b\u0443\u0447\u0430\u0435.<\/p>\n<p><strong>\u041f\u0430\u043c\u044f\u0442\u044c (in-place \u0438\u043b\u0438 \u043d\u0435\u0442)<\/strong> &#8212; \u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0434\u043e\u043f\u043e\u043b\u043d\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u043c\u0435\u0441\u0442\u0430 \u043d\u0443\u0436\u043d\u043e \u0441\u0432\u0435\u0440\u0445 \u0441\u0430\u043c\u043e\u0433\u043e \u043c\u0430\u0441\u0441\u0438\u0432\u0430. \u0410\u043b\u0433\u043e\u0440\u0438\u0442\u043c, \u0441\u043e\u0440\u0442\u0438\u0440\u0443\u044e\u0449\u0438\u0439 \u00ab\u043d\u0430 \u043c\u0435\u0441\u0442\u0435\u00bb, \u0442\u0440\u0430\u0442\u0438\u0442 O(1) \u043b\u0438\u0448\u043d\u0435\u0439 \u043f\u0430\u043c\u044f\u0442\u0438; \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0430 \u0441\u043b\u0438\u044f\u043d\u0438\u0435\u043c \u0442\u0440\u0435\u0431\u0443\u0435\u0442 O(n).<\/p>\n<p><strong>\u0423\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u043e\u0441\u0442\u044c (\u0441\u0442\u0430\u0431\u0438\u043b\u044c\u043d\u043e\u0441\u0442\u044c)<\/strong> &#8212; \u0441\u043e\u0445\u0440\u0430\u043d\u044f\u0435\u0442 \u043b\u0438 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u043f\u043e\u0440\u044f\u0434\u043e\u043a \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u043e\u0432 \u0441 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u043c \u043a\u043b\u044e\u0447\u043e\u043c. \u0415\u0441\u043b\u0438 \u0434\u0432\u0430 \u0447\u0435\u043b\u043e\u0432\u0435\u043a\u0430 \u0441 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u043c \u0432\u043e\u0437\u0440\u0430\u0441\u0442\u043e\u043c \u0448\u043b\u0438 \u0432 \u0441\u043f\u0438\u0441\u043a\u0435 \u0432 \u043f\u043e\u0440\u044f\u0434\u043a\u0435 \u00ab\u0410\u043d\u043d\u0430, \u043f\u043e\u0442\u043e\u043c \u0411\u043e\u0440\u0438\u0441\u00bb, \u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u0430\u044f \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0430 \u043f\u043e \u0432\u043e\u0437\u0440\u0430\u0441\u0442\u0443 \u043e\u0441\u0442\u0430\u0432\u0438\u0442 \u0438\u0445 \u0432 \u0442\u043e\u043c \u0436\u0435 \u043f\u043e\u0440\u044f\u0434\u043a\u0435. \u0421\u0432\u043e\u0439\u0441\u0442\u0432\u043e \u0432\u0430\u0436\u043d\u043e \u043f\u0440\u0438 \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0435 \u043f\u043e \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u0438\u043c \u043f\u043e\u043b\u044f\u043c \u043f\u043e\u0434\u0440\u044f\u0434.<\/p>\n<h2 id=\"s2\">\u041f\u0443\u0437\u044b\u0440\u044c\u043a\u043e\u0432\u0430\u044f \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0430: \u043f\u0440\u043e\u0433\u043e\u043d \u0440\u0443\u043a\u0430\u043c\u0438<\/h2>\n<p>\u0418\u0434\u0435\u044f \u043f\u0440\u043e\u0441\u0442\u0430\u044f: \u0438\u0434\u0435\u043c \u043f\u043e \u043c\u0430\u0441\u0441\u0438\u0432\u0443 \u0438 \u0441\u0440\u0430\u0432\u043d\u0438\u0432\u0430\u0435\u043c \u043a\u0430\u0436\u0434\u0443\u044e \u043f\u0430\u0440\u0443 \u0441\u043e\u0441\u0435\u0434\u043d\u0438\u0445 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u043e\u0432. \u0415\u0441\u043b\u0438 \u043b\u0435\u0432\u044b\u0439 \u0431\u043e\u043b\u044c\u0448\u0435 \u043f\u0440\u0430\u0432\u043e\u0433\u043e &#8212; \u043c\u0435\u043d\u044f\u0435\u043c \u0438\u0445 \u043c\u0435\u0441\u0442\u0430\u043c\u0438. \u0417\u0430 \u043e\u0434\u0438\u043d \u043f\u0440\u043e\u0445\u043e\u0434 \u0441\u0430\u043c\u044b\u0439 \u0431\u043e\u043b\u044c\u0448\u043e\u0439 \u044d\u043b\u0435\u043c\u0435\u043d\u0442 \u00ab\u0432\u0441\u043f\u043b\u044b\u0432\u0430\u0435\u0442\u00bb \u0432 \u043a\u043e\u043d\u0435\u0446. \u041f\u043e\u0432\u0442\u043e\u0440\u044f\u0435\u043c \u043f\u0440\u043e\u0445\u043e\u0434\u044b, \u043f\u043e\u043a\u0430 \u043d\u0435 \u043e\u0441\u0442\u0430\u043d\u0435\u0442\u0441\u044f \u043e\u0431\u043c\u0435\u043d\u043e\u0432.<\/p>\n<p>\u041f\u0440\u043e\u0433\u043e\u043d\u0438\u043c \u043d\u0430 \u043c\u0430\u0441\u0441\u0438\u0432\u0435 <code style=\"background:#eef0f3;color:#24292f;border-radius:4px;padding:1px 5px;font-size:0.92em;font-family:ui-monospace,SFMono-Regular,Menlo,Consolas,monospace\">[5, 1, 4, 2, 8]<\/code>. \u041a\u0430\u0436\u0434\u044b\u0439 \u043f\u0440\u043e\u0445\u043e\u0434 \u0441\u0440\u0430\u0432\u043d\u0438\u0432\u0430\u0435\u0442 \u0441\u043e\u0441\u0435\u0434\u043d\u0438\u0435 \u043f\u0430\u0440\u044b \u0441\u043b\u0435\u0432\u0430 \u043d\u0430\u043f\u0440\u0430\u0432\u043e.<\/p>\n<p>\u041f\u0440\u043e\u0445\u043e\u0434 1: 5&gt;1 \u043c\u0435\u043d\u044f\u0435\u043c -&gt; <code style=\"background:#eef0f3;color:#24292f;border-radius:4px;padding:1px 5px;font-size:0.92em;font-family:ui-monospace,SFMono-Regular,Menlo,Consolas,monospace\">[1,5,4,2,8]<\/code>; 5&gt;4 \u043c\u0435\u043d\u044f\u0435\u043c -&gt; <code style=\"background:#eef0f3;color:#24292f;border-radius:4px;padding:1px 5px;font-size:0.92em;font-family:ui-monospace,SFMono-Regular,Menlo,Consolas,monospace\">[1,4,5,2,8]<\/code>; 5&gt;2 \u043c\u0435\u043d\u044f\u0435\u043c -&gt; <code style=\"background:#eef0f3;color:#24292f;border-radius:4px;padding:1px 5px;font-size:0.92em;font-family:ui-monospace,SFMono-Regular,Menlo,Consolas,monospace\">[1,4,2,5,8]<\/code>; 5&lt;8 \u043d\u0435 \u0442\u0440\u043e\u0433\u0430\u0435\u043c. \u0418\u0442\u043e\u0433 \u043f\u0440\u043e\u0445\u043e\u0434\u0430: <code style=\"background:#eef0f3;color:#24292f;border-radius:4px;padding:1px 5px;font-size:0.92em;font-family:ui-monospace,SFMono-Regular,Menlo,Consolas,monospace\">[1,4,2,5,8]<\/code>, \u0447\u0438\u0441\u043b\u043e 8 \u0432\u0441\u0442\u0430\u043b\u043e \u043d\u0430 \u043c\u0435\u0441\u0442\u043e.<\/p>\n<p>\u041f\u0440\u043e\u0445\u043e\u0434 2: 1&lt;4 \u043d\u0435\u0442; 4&gt;2 \u043c\u0435\u043d\u044f\u0435\u043c -&gt; <code style=\"background:#eef0f3;color:#24292f;border-radius:4px;padding:1px 5px;font-size:0.92em;font-family:ui-monospace,SFMono-Regular,Menlo,Consolas,monospace\">[1,2,4,5,8]<\/code>; 4&lt;5 \u043d\u0435\u0442. \u0418\u0442\u043e\u0433: <code style=\"background:#eef0f3;color:#24292f;border-radius:4px;padding:1px 5px;font-size:0.92em;font-family:ui-monospace,SFMono-Regular,Menlo,Consolas,monospace\">[1,2,4,5,8]<\/code>.<\/p>\n<p>\u041f\u0440\u043e\u0445\u043e\u0434 3: \u043d\u0438 \u043e\u0434\u043d\u043e\u0439 \u043f\u0435\u0440\u0435\u0441\u0442\u0430\u043d\u043e\u0432\u043a\u0438 &#8212; \u0437\u043d\u0430\u0447\u0438\u0442 \u043c\u0430\u0441\u0441\u0438\u0432 \u0443\u0436\u0435 \u043e\u0442\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u0430\u043d, \u0434\u0430\u043b\u044c\u0448\u0435 \u0438\u0434\u0442\u0438 \u043d\u0435\u0437\u0430\u0447\u0435\u043c. \u0420\u0430\u043d\u043d\u0438\u0439 \u0432\u044b\u0445\u043e\u0434 \u043f\u043e \u0444\u043b\u0430\u0433\u0443 \u00ab\u0431\u044b\u043b \u043b\u0438 \u043e\u0431\u043c\u0435\u043d\u00bb &#8212; \u0442\u0438\u043f\u0438\u0447\u043d\u0430\u044f \u043e\u043f\u0442\u0438\u043c\u0438\u0437\u0430\u0446\u0438\u044f \u043f\u0443\u0437\u044b\u0440\u044c\u043a\u0430.<\/p>\n<p>\u0422\u0435\u043f\u0435\u0440\u044c \u0442\u043e\u0442 \u0436\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c \u043a\u043e\u0434\u043e\u043c. \u0424\u043b\u0430\u0433 <code style=\"background:#eef0f3;color:#24292f;border-radius:4px;padding:1px 5px;font-size:0.92em;font-family:ui-monospace,SFMono-Regular,Menlo,Consolas,monospace\">swapped<\/code> \u0434\u0430\u0435\u0442 \u0440\u0430\u043d\u043d\u0438\u0439 \u0432\u044b\u0445\u043e\u0434, \u0430 <code style=\"background:#eef0f3;color:#24292f;border-radius:4px;padding:1px 5px;font-size:0.92em;font-family:ui-monospace,SFMono-Regular,Menlo,Consolas,monospace\">range(n - 1 - i)<\/code> \u043d\u0435 \u043f\u0440\u043e\u0432\u0435\u0440\u044f\u0435\u0442 \u0443\u0436\u0435 \u043e\u0442\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u044b\u0439 \u0445\u0432\u043e\u0441\u0442.<\/p>\n<pre style=\"background:#282c34;color:#abb2bf;border-radius:8px;padding:16px 20px;margin:20px 0;overflow-x:auto;font-size:14px;line-height:1.55;font-family:ui-monospace,SFMono-Regular,Menlo,Consolas,monospace\"><code style=\"background:none\"><span style=\"color: #C678DD\">def<\/span><span style=\"color: #ABB2BF\"> <\/span><span style=\"color: #61AFEF; font-weight: bold\">bubble_sort<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">a<\/span><span style=\"color: #ABB2BF\">):<\/span>\n    <span style=\"color: #E06C75\">a<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E06C75\">a<\/span><span style=\"color: #ABB2BF\">[:]<\/span>                      <span style=\"color: #7F848E\"># \u043a\u043e\u043f\u0438\u044f, \u0447\u0442\u043e\u0431\u044b \u043d\u0435 \u043f\u043e\u0440\u0442\u0438\u0442\u044c \u0438\u0441\u0445\u043e\u0434\u043d\u044b\u0439 \u0441\u043f\u0438\u0441\u043e\u043a<\/span>\n    <span style=\"color: #E06C75\">n<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E5C07B\">len<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">a<\/span><span style=\"color: #ABB2BF\">)<\/span>\n    <span style=\"color: #C678DD\">for<\/span> <span style=\"color: #E06C75\">i<\/span> <span style=\"color: #56B6C2\">in<\/span> <span style=\"color: #E5C07B\">range<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">n<\/span> <span style=\"color: #56B6C2\">-<\/span> <span style=\"color: #D19A66\">1<\/span><span style=\"color: #ABB2BF\">):<\/span>\n        <span style=\"color: #E06C75\">swapped<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E5C07B\">False<\/span>\n        <span style=\"color: #C678DD\">for<\/span> <span style=\"color: #E06C75\">j<\/span> <span style=\"color: #56B6C2\">in<\/span> <span style=\"color: #E5C07B\">range<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">n<\/span> <span style=\"color: #56B6C2\">-<\/span> <span style=\"color: #D19A66\">1<\/span> <span style=\"color: #56B6C2\">-<\/span> <span style=\"color: #E06C75\">i<\/span><span style=\"color: #ABB2BF\">):<\/span>        <span style=\"color: #7F848E\"># \u0445\u0432\u043e\u0441\u0442 \u0438\u0437 i \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u043e\u0432 \u0443\u0436\u0435 \u043d\u0430 \u043c\u0435\u0441\u0442\u0435<\/span>\n            <span style=\"color: #C678DD\">if<\/span> <span style=\"color: #E06C75\">a<\/span><span style=\"color: #ABB2BF\">[<\/span><span style=\"color: #E06C75\">j<\/span><span style=\"color: #ABB2BF\">]<\/span> <span style=\"color: #56B6C2\">&gt;<\/span> <span style=\"color: #E06C75\">a<\/span><span style=\"color: #ABB2BF\">[<\/span><span style=\"color: #E06C75\">j<\/span> <span style=\"color: #56B6C2\">+<\/span> <span style=\"color: #D19A66\">1<\/span><span style=\"color: #ABB2BF\">]:<\/span>\n                <span style=\"color: #E06C75\">a<\/span><span style=\"color: #ABB2BF\">[<\/span><span style=\"color: #E06C75\">j<\/span><span style=\"color: #ABB2BF\">],<\/span> <span style=\"color: #E06C75\">a<\/span><span style=\"color: #ABB2BF\">[<\/span><span style=\"color: #E06C75\">j<\/span> <span style=\"color: #56B6C2\">+<\/span> <span style=\"color: #D19A66\">1<\/span><span style=\"color: #ABB2BF\">]<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E06C75\">a<\/span><span style=\"color: #ABB2BF\">[<\/span><span style=\"color: #E06C75\">j<\/span> <span style=\"color: #56B6C2\">+<\/span> <span style=\"color: #D19A66\">1<\/span><span style=\"color: #ABB2BF\">],<\/span> <span style=\"color: #E06C75\">a<\/span><span style=\"color: #ABB2BF\">[<\/span><span style=\"color: #E06C75\">j<\/span><span style=\"color: #ABB2BF\">]<\/span>\n                <span style=\"color: #E06C75\">swapped<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E5C07B\">True<\/span>\n        <span style=\"color: #E5C07B\">print<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #98C379\">f\"\u043f\u043e\u0441\u043b\u0435 \u043f\u0440\u043e\u0445\u043e\u0434\u0430 {<\/span><span style=\"color: #E06C75\">i<\/span><span style=\"color: #ABB2BF\"> <\/span><span style=\"color: #56B6C2\">+<\/span><span style=\"color: #ABB2BF\"> <\/span><span style=\"color: #D19A66\">1<\/span><span style=\"color: #98C379\">}: {<\/span><span style=\"color: #E06C75\">a<\/span><span style=\"color: #98C379\">}\"<\/span><span style=\"color: #ABB2BF\">)<\/span>\n        <span style=\"color: #C678DD\">if<\/span> <span style=\"color: #56B6C2\">not<\/span> <span style=\"color: #E06C75\">swapped<\/span><span style=\"color: #ABB2BF\">:<\/span>               <span style=\"color: #7F848E\"># \u043f\u0440\u043e\u0445\u043e\u0434 \u0431\u0435\u0437 \u043e\u0431\u043c\u0435\u043d\u043e\u0432 - \u043c\u0430\u0441\u0441\u0438\u0432 \u043e\u0442\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u0430\u043d<\/span>\n            <span style=\"color: #E5C07B\">print<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #98C379\">\"\u043e\u0431\u043c\u0435\u043d\u043e\u0432 \u043d\u0435 \u0431\u044b\u043b\u043e - \u043c\u0430\u0441\u0441\u0438\u0432 \u043e\u0442\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u0430\u043d, \u0432\u044b\u0445\u043e\u0434\u0438\u043c\"<\/span><span style=\"color: #ABB2BF\">)<\/span>\n            <span style=\"color: #C678DD\">break<\/span>\n    <span style=\"color: #C678DD\">return<\/span> <span style=\"color: #E06C75\">a<\/span>\n\n<span style=\"color: #E06C75\">data<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #ABB2BF\">[<\/span><span style=\"color: #D19A66\">5<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">1<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">4<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">2<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">8<\/span><span style=\"color: #ABB2BF\">]<\/span>\n<span style=\"color: #E5C07B\">print<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #98C379\">\"\u0438\u0441\u0445\u043e\u0434\u043d\u044b\u0439:\"<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">data<\/span><span style=\"color: #ABB2BF\">)<\/span>\n<span style=\"color: #E5C07B\">print<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #98C379\">\"\u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442:\"<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">bubble_sort<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">data<\/span><span style=\"color: #ABB2BF\">))<\/span><\/code><\/pre>\n<p>\u0424\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0439 \u0432\u044b\u0432\u043e\u0434 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u0435\u0442 \u0441 \u0440\u0443\u0447\u043d\u044b\u043c \u043f\u0440\u043e\u0433\u043e\u043d\u043e\u043c:<\/p>\n<pre style=\"background:#282c34;color:#abb2bf;border-radius:8px;padding:16px 20px;margin:20px 0;overflow-x:auto;font-size:14px;line-height:1.55;font-family:ui-monospace,SFMono-Regular,Menlo,Consolas,monospace\"><code style=\"background:none\">\u0438\u0441\u0445\u043e\u0434\u043d\u044b\u0439: [5, 1, 4, 2, 8]\n\u043f\u043e\u0441\u043b\u0435 \u043f\u0440\u043e\u0445\u043e\u0434\u0430 1: [1, 4, 2, 5, 8]\n\u043f\u043e\u0441\u043b\u0435 \u043f\u0440\u043e\u0445\u043e\u0434\u0430 2: [1, 2, 4, 5, 8]\n\u043f\u043e\u0441\u043b\u0435 \u043f\u0440\u043e\u0445\u043e\u0434\u0430 3: [1, 2, 4, 5, 8]\n\u043e\u0431\u043c\u0435\u043d\u043e\u0432 \u043d\u0435 \u0431\u044b\u043b\u043e - \u043c\u0430\u0441\u0441\u0438\u0432 \u043e\u0442\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u0430\u043d, \u0432\u044b\u0445\u043e\u0434\u0438\u043c\n\u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442: [1, 2, 4, 5, 8]\n<\/code><\/pre>\n<p>\u041f\u0443\u0437\u044b\u0440\u0435\u043a \u043f\u0440\u043e\u0441\u0442 \u0438 \u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432, \u043d\u043e \u043c\u0435\u0434\u043b\u0435\u043d\u043d\u044b\u0439: \u0432 \u0441\u0440\u0435\u0434\u043d\u0435\u043c \u0438 \u0445\u0443\u0434\u0448\u0435\u043c \u0441\u043b\u0443\u0447\u0430\u0435 O(n^2). \u041d\u0430 \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u0435 \u0435\u0433\u043e \u043f\u043e\u0447\u0442\u0438 \u043d\u0435 \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u044e\u0442, \u0437\u0430\u0442\u043e \u043e\u043d \u043d\u0430\u0433\u043b\u044f\u0434\u0435\u043d \u0438 \u043e\u0442\u043b\u0438\u0447\u043d\u043e \u043f\u043e\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u0442 \u0441\u0430\u043c\u0443 \u043c\u0435\u0445\u0430\u043d\u0438\u043a\u0443 \u043f\u0435\u0440\u0435\u0441\u0442\u0430\u043d\u043e\u0432\u043e\u043a.<\/p>\n<h2 id=\"s3\">\u0412\u0441\u0442\u0430\u0432\u043a\u0430\u043c\u0438 \u0438 \u0432\u044b\u0431\u043e\u0440\u043e\u043c: \u0434\u0432\u0435 \u0434\u0440\u0443\u0433\u0438\u0435 \u043f\u0440\u043e\u0441\u0442\u044b\u0435 \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0438<\/h2>\n<p><strong>\u0421\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0430 \u0432\u0441\u0442\u0430\u0432\u043a\u0430\u043c\u0438<\/strong> \u0441\u0442\u0440\u043e\u0438\u0442 \u043e\u0442\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u0443\u044e \u0447\u0430\u0441\u0442\u044c \u0441\u043b\u0435\u0432\u0430, \u0431\u0435\u0440\u044f \u043f\u043e \u043e\u0434\u043d\u043e\u043c\u0443 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0443 \u0438 \u0432\u0441\u0442\u0430\u0432\u043b\u044f\u044f \u0435\u0433\u043e \u043d\u0430 \u043d\u0443\u0436\u043d\u043e\u0435 \u043c\u0435\u0441\u0442\u043e \u0441\u0440\u0435\u0434\u0438 \u0443\u0436\u0435 \u0443\u043f\u043e\u0440\u044f\u0434\u043e\u0447\u0435\u043d\u043d\u044b\u0445 &#8212; \u043a\u0430\u043a \u0440\u0430\u0441\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u044e\u0442 \u043a\u0430\u0440\u0442\u044b \u0432 \u0440\u0443\u043a\u0435. \u0412 \u0445\u0443\u0434\u0448\u0435\u043c \u0438 \u0441\u0440\u0435\u0434\u043d\u0435\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u044d\u0442\u043e O(n^2), \u043d\u043e \u043d\u0430 \u043f\u043e\u0447\u0442\u0438 \u043e\u0442\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u044b\u0445 \u0434\u0430\u043d\u043d\u044b\u0445 \u0431\u043b\u0438\u0437\u043a\u0430 \u043a O(n), \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0433\u043e\u0434\u0438\u0442\u0441\u044f \u0434\u043b\u044f \u043d\u0435\u0431\u043e\u043b\u044c\u0448\u0438\u0445 \u0438 \u00ab\u0434\u043e\u0443\u043f\u043e\u0440\u044f\u0434\u043e\u0447\u0435\u043d\u043d\u044b\u0445\u00bb \u043c\u0430\u0441\u0441\u0438\u0432\u043e\u0432. \u0423\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u0430, \u0440\u0430\u0431\u043e\u0442\u0430\u0435\u0442 \u043d\u0430 \u043c\u0435\u0441\u0442\u0435.<\/p>\n<p><strong>\u0421\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0430 \u0432\u044b\u0431\u043e\u0440\u043e\u043c<\/strong> \u043d\u0430 \u043a\u0430\u0436\u0434\u043e\u043c \u0448\u0430\u0433\u0435 \u043d\u0430\u0445\u043e\u0434\u0438\u0442 \u043c\u0438\u043d\u0438\u043c\u0443\u043c \u0432 \u043d\u0435\u043e\u0442\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u043e\u0439 \u0447\u0430\u0441\u0442\u0438 \u0438 \u0441\u0442\u0430\u0432\u0438\u0442 \u0435\u0433\u043e \u0432 \u043d\u0430\u0447\u0430\u043b\u043e. \u0427\u0438\u0441\u043b\u043e \u0441\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u043e \u0432\u0441\u0435\u0433\u0434\u0430, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0441\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c O(n^2) \u0432\u043e \u0432\u0441\u0435\u0445 \u0441\u043b\u0443\u0447\u0430\u044f\u0445 &#8212; \u0438 \u0432 \u043b\u0443\u0447\u0448\u0435\u043c \u0442\u043e\u0436\u0435. \u041f\u0435\u0440\u0435\u0441\u0442\u0430\u043d\u043e\u0432\u043e\u043a \u043e\u043d\u0430 \u0434\u0435\u043b\u0430\u0435\u0442 \u043c\u0430\u043b\u043e (\u043f\u043e \u043e\u0434\u043d\u043e\u0439 \u0437\u0430 \u043f\u0440\u043e\u0445\u043e\u0434), \u043d\u043e \u0432 \u0431\u0430\u0437\u043e\u0432\u043e\u0439 \u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u0438 \u043d\u0435\u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u0430: \u043e\u0431\u043c\u0435\u043d \u043c\u0438\u043d\u0438\u043c\u0443\u043c\u0430 \u0441 \u0442\u0435\u043a\u0443\u0449\u0435\u0439 \u043f\u043e\u0437\u0438\u0446\u0438\u0435\u0439 \u043c\u043e\u0436\u0435\u0442 \u00ab\u043f\u0435\u0440\u0435\u043f\u0440\u044b\u0433\u043d\u0443\u0442\u044c\u00bb \u0440\u0430\u0432\u043d\u044b\u0439 \u044d\u043b\u0435\u043c\u0435\u043d\u0442.<\/p>\n<p>\u0412\u0441\u0435 \u0442\u0440\u0438 \u043f\u0440\u043e\u0441\u0442\u044b\u0435 \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0438 &#8212; \u043f\u0443\u0437\u044b\u0440\u044c\u043a\u043e\u043c, \u0432\u0441\u0442\u0430\u0432\u043a\u0430\u043c\u0438, \u0432\u044b\u0431\u043e\u0440\u043e\u043c &#8212; \u0440\u0430\u0431\u043e\u0442\u0430\u044e\u0442 \u043d\u0430 \u043c\u0435\u0441\u0442\u0435 \u0441 O(1) \u0434\u043e\u043f\u043e\u043b\u043d\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u043f\u0430\u043c\u044f\u0442\u0438. \u0418\u0445 \u043f\u043e\u0442\u043e\u043b\u043e\u043a O(n^2) \u0434\u0435\u043b\u0430\u0435\u0442 \u0438\u0445 \u043d\u0435\u043f\u0440\u0438\u0433\u043e\u0434\u043d\u044b\u043c\u0438 \u0434\u043b\u044f \u0431\u043e\u043b\u044c\u0448\u0438\u0445 \u043c\u0430\u0441\u0441\u0438\u0432\u043e\u0432, \u043d\u043e \u043d\u0430 \u0434\u0435\u0441\u044f\u0442\u043a\u0430\u0445 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u043e\u0432 \u0440\u0430\u0437\u043d\u0438\u0446\u0430 \u043d\u0435\u0437\u0430\u043c\u0435\u0442\u043d\u0430, \u0430 \u043a\u043e\u0434 \u043a\u043e\u0440\u043e\u0442\u043a\u0438\u0439.<\/p>\n<h2 id=\"s4\">\u0411\u044b\u0441\u0442\u0440\u0430\u044f \u0438 \u0441\u043b\u0438\u044f\u043d\u0438\u0435\u043c: \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0438 \u0437\u0430 O(n log n)<\/h2>\n<p><strong>\u0411\u044b\u0441\u0442\u0440\u0430\u044f \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0430 (quicksort)<\/strong> \u0432\u044b\u0431\u0438\u0440\u0430\u0435\u0442 \u043e\u043f\u043e\u0440\u043d\u044b\u0439 \u044d\u043b\u0435\u043c\u0435\u043d\u0442 (pivot) \u0438 \u0440\u0430\u0437\u0431\u0438\u0432\u0430\u0435\u0442 \u043c\u0430\u0441\u0441\u0438\u0432 \u043d\u0430 \u0434\u0432\u0435 \u0447\u0430\u0441\u0442\u0438: \u043c\u0435\u043d\u044c\u0448\u0435 \u043e\u043f\u043e\u0440\u043d\u043e\u0433\u043e \u0438 \u0431\u043e\u043b\u044c\u0448\u0435. \u0417\u0430\u0442\u0435\u043c \u0440\u0435\u043a\u0443\u0440\u0441\u0438\u0432\u043d\u043e \u0441\u043e\u0440\u0442\u0438\u0440\u0443\u0435\u0442 \u043a\u0430\u0436\u0434\u0443\u044e \u0447\u0430\u0441\u0442\u044c. \u0412 \u0441\u0440\u0435\u0434\u043d\u0435\u043c \u044d\u0442\u043e O(n log n) \u0438 \u043d\u0430 \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u0435 \u043e\u0434\u043d\u0430 \u0438\u0437 \u0441\u0430\u043c\u044b\u0445 \u0431\u044b\u0441\u0442\u0440\u044b\u0445. \u041d\u043e \u043f\u0440\u0438 \u043d\u0435\u0443\u0434\u0430\u0447\u043d\u043e\u043c \u0432\u044b\u0431\u043e\u0440\u0435 \u043e\u043f\u043e\u0440\u043d\u043e\u0433\u043e (\u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0432\u0441\u0435\u0433\u0434\u0430 \u043a\u0440\u0430\u0439\u043d\u0438\u0439 \u044d\u043b\u0435\u043c\u0435\u043d\u0442 \u043d\u0430 \u0443\u0436\u0435 \u043e\u0442\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u044b\u0445 \u0434\u0430\u043d\u043d\u044b\u0445) \u0441\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c \u0432\u044b\u0440\u043e\u0436\u0434\u0430\u0435\u0442\u0441\u044f \u0434\u043e O(n^2). \u0411\u0430\u0437\u043e\u0432\u0430\u044f \u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f \u043d\u0435\u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u0430; \u0434\u043e\u043f\u043e\u043b\u043d\u0438\u0442\u0435\u043b\u044c\u043d\u0430\u044f \u043f\u0430\u043c\u044f\u0442\u044c &#8212; O(log n) \u043d\u0430 \u0441\u0442\u0435\u043a \u0440\u0435\u043a\u0443\u0440\u0441\u0438\u0438.<\/p>\n<p><strong>\u0421\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0430 \u0441\u043b\u0438\u044f\u043d\u0438\u0435\u043c (merge sort)<\/strong> \u0434\u0435\u043b\u0438\u0442 \u043c\u0430\u0441\u0441\u0438\u0432 \u043f\u043e\u043f\u043e\u043b\u0430\u043c, \u0440\u0435\u043a\u0443\u0440\u0441\u0438\u0432\u043d\u043e \u0441\u043e\u0440\u0442\u0438\u0440\u0443\u0435\u0442 \u043f\u043e\u043b\u043e\u0432\u0438\u043d\u044b \u0438 \u0441\u043b\u0438\u0432\u0430\u0435\u0442 \u0438\u0445 \u0432 \u043e\u0434\u0438\u043d \u0443\u043f\u043e\u0440\u044f\u0434\u043e\u0447\u0435\u043d\u043d\u044b\u0439 \u0441\u043f\u0438\u0441\u043e\u043a, \u043a\u0430\u0436\u0434\u044b\u0439 \u0440\u0430\u0437 \u0437\u0430\u0431\u0438\u0440\u0430\u044f \u043c\u0435\u043d\u044c\u0448\u0438\u0439 \u0438\u0437 \u0434\u0432\u0443\u0445 \u0442\u0435\u043a\u0443\u0449\u0438\u0445 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u043e\u0432. \u0415\u0435 \u0441\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c O(n log n) \u0433\u0430\u0440\u0430\u043d\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u043e \u0432\u043e \u0432\u0441\u0435\u0445 \u0441\u043b\u0443\u0447\u0430\u044f\u0445, \u0438 \u043e\u043d\u0430 \u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u0430. \u041f\u043b\u0430\u0442\u0430 &#8212; O(n) \u0434\u043e\u043f\u043e\u043b\u043d\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u043f\u0430\u043c\u044f\u0442\u0438 \u043f\u043e\u0434 \u0441\u043b\u0438\u044f\u043d\u0438\u0435.<\/p>\n<p>\u0412\u043e\u0442 \u044f\u0434\u0440\u043e \u0441\u043b\u0438\u044f\u043d\u0438\u044f \u0438 \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0438 \u043d\u0430 Python:<\/p>\n<pre style=\"background:#282c34;color:#abb2bf;border-radius:8px;padding:16px 20px;margin:20px 0;overflow-x:auto;font-size:14px;line-height:1.55;font-family:ui-monospace,SFMono-Regular,Menlo,Consolas,monospace\"><code style=\"background:none\"><span style=\"color: #C678DD\">def<\/span><span style=\"color: #ABB2BF\"> <\/span><span style=\"color: #61AFEF; font-weight: bold\">merge_sort<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">a<\/span><span style=\"color: #ABB2BF\">):<\/span>\n    <span style=\"color: #C678DD\">if<\/span> <span style=\"color: #E5C07B\">len<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">a<\/span><span style=\"color: #ABB2BF\">)<\/span> <span style=\"color: #56B6C2\">&lt;=<\/span> <span style=\"color: #D19A66\">1<\/span><span style=\"color: #ABB2BF\">:<\/span>                 <span style=\"color: #7F848E\"># \u0431\u0430\u0437\u0430 \u0440\u0435\u043a\u0443\u0440\u0441\u0438\u0438: 0 \u0438\u043b\u0438 1 \u044d\u043b\u0435\u043c\u0435\u043d\u0442 \u0443\u0436\u0435 \u043e\u0442\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u044b<\/span>\n        <span style=\"color: #C678DD\">return<\/span> <span style=\"color: #E06C75\">a<\/span>\n    <span style=\"color: #E06C75\">mid<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E5C07B\">len<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">a<\/span><span style=\"color: #ABB2BF\">)<\/span> <span style=\"color: #56B6C2\">\/\/<\/span> <span style=\"color: #D19A66\">2<\/span>\n    <span style=\"color: #E06C75\">left<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E06C75\">merge_sort<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">a<\/span><span style=\"color: #ABB2BF\">[:<\/span><span style=\"color: #E06C75\">mid<\/span><span style=\"color: #ABB2BF\">])<\/span>\n    <span style=\"color: #E06C75\">right<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E06C75\">merge_sort<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">a<\/span><span style=\"color: #ABB2BF\">[<\/span><span style=\"color: #E06C75\">mid<\/span><span style=\"color: #ABB2BF\">:])<\/span>\n    <span style=\"color: #E06C75\">res<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #ABB2BF\">[]<\/span>\n    <span style=\"color: #E06C75\">i<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E06C75\">j<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #D19A66\">0<\/span>\n    <span style=\"color: #C678DD\">while<\/span> <span style=\"color: #E06C75\">i<\/span> <span style=\"color: #56B6C2\">&lt;<\/span> <span style=\"color: #E5C07B\">len<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">left<\/span><span style=\"color: #ABB2BF\">)<\/span> <span style=\"color: #56B6C2\">and<\/span> <span style=\"color: #E06C75\">j<\/span> <span style=\"color: #56B6C2\">&lt;<\/span> <span style=\"color: #E5C07B\">len<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">right<\/span><span style=\"color: #ABB2BF\">):<\/span>\n        <span style=\"color: #C678DD\">if<\/span> <span style=\"color: #E06C75\">left<\/span><span style=\"color: #ABB2BF\">[<\/span><span style=\"color: #E06C75\">i<\/span><span style=\"color: #ABB2BF\">]<\/span> <span style=\"color: #56B6C2\">&lt;=<\/span> <span style=\"color: #E06C75\">right<\/span><span style=\"color: #ABB2BF\">[<\/span><span style=\"color: #E06C75\">j<\/span><span style=\"color: #ABB2BF\">]:<\/span>     <span style=\"color: #7F848E\"># &lt;= \u0441\u043e\u0445\u0440\u0430\u043d\u044f\u0435\u0442 \u043f\u043e\u0440\u044f\u0434\u043e\u043a \u0440\u0430\u0432\u043d\u044b\u0445 -&gt; \u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u043e\u0441\u0442\u044c<\/span>\n            <span style=\"color: #E06C75\">res<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">append<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">left<\/span><span style=\"color: #ABB2BF\">[<\/span><span style=\"color: #E06C75\">i<\/span><span style=\"color: #ABB2BF\">]);<\/span> <span style=\"color: #E06C75\">i<\/span> <span style=\"color: #56B6C2\">+=<\/span> <span style=\"color: #D19A66\">1<\/span>\n        <span style=\"color: #C678DD\">else<\/span><span style=\"color: #ABB2BF\">:<\/span>\n            <span style=\"color: #E06C75\">res<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">append<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">right<\/span><span style=\"color: #ABB2BF\">[<\/span><span style=\"color: #E06C75\">j<\/span><span style=\"color: #ABB2BF\">]);<\/span> <span style=\"color: #E06C75\">j<\/span> <span style=\"color: #56B6C2\">+=<\/span> <span style=\"color: #D19A66\">1<\/span>\n    <span style=\"color: #E06C75\">res<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">extend<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">left<\/span><span style=\"color: #ABB2BF\">[<\/span><span style=\"color: #E06C75\">i<\/span><span style=\"color: #ABB2BF\">:]);<\/span> <span style=\"color: #E06C75\">res<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">extend<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">right<\/span><span style=\"color: #ABB2BF\">[<\/span><span style=\"color: #E06C75\">j<\/span><span style=\"color: #ABB2BF\">:])<\/span>   <span style=\"color: #7F848E\"># \u0434\u043e\u0431\u0430\u0432\u043b\u044f\u0435\u043c \u043e\u0441\u0442\u0430\u0442\u043e\u043a<\/span>\n    <span style=\"color: #C678DD\">return<\/span> <span style=\"color: #E06C75\">res<\/span>\n\n<span style=\"color: #E5C07B\">print<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">merge_sort<\/span><span style=\"color: #ABB2BF\">([<\/span><span style=\"color: #D19A66\">5<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">1<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">4<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">2<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">8<\/span><span style=\"color: #ABB2BF\">]))<\/span>   <span style=\"color: #7F848E\"># -&gt; [1, 2, 4, 5, 8]<\/span><\/code><\/pre>\n<p>\u0418\u043c\u0435\u043d\u043d\u043e \u043d\u0430 \u0438\u0434\u0435\u0435 \u0441\u043b\u0438\u044f\u043d\u0438\u044f \u0438 \u0432\u0441\u0442\u0430\u0432\u043e\u043a \u043f\u043e\u0441\u0442\u0440\u043e\u0435\u043d Timsort &#8212; \u0433\u0438\u0431\u0440\u0438\u0434\u043d\u044b\u0439 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u0441\u0442\u043e\u0438\u0442 \u0437\u0430 \u0432\u0441\u0442\u0440\u043e\u0435\u043d\u043d\u044b\u043c\u0438 <code style=\"background:#eef0f3;color:#24292f;border-radius:4px;padding:1px 5px;font-size:0.92em;font-family:ui-monospace,SFMono-Regular,Menlo,Consolas,monospace\">sorted()<\/code> \u0438 <code style=\"background:#eef0f3;color:#24292f;border-radius:4px;padding:1px 5px;font-size:0.92em;font-family:ui-monospace,SFMono-Regular,Menlo,Consolas,monospace\">list.sort()<\/code> \u0432 Python. \u041e\u043d \u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432 \u0438 \u0440\u0430\u0431\u043e\u0442\u0430\u0435\u0442 \u0437\u0430 O(n log n), \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0432 \u0440\u0435\u0430\u043b\u044c\u043d\u043e\u043c \u043a\u043e\u0434\u0435 \u043f\u043e\u0447\u0442\u0438 \u0432\u0441\u0435\u0433\u0434\u0430 \u0431\u0435\u0440\u0443\u0442 \u0432\u0441\u0442\u0440\u043e\u0435\u043d\u043d\u0443\u044e \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0443, \u0430 \u0440\u0443\u0447\u043d\u044b\u0435 \u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u0438 \u043d\u0443\u0436\u043d\u044b \u0434\u043b\u044f \u0443\u0447\u0435\u0431\u044b \u0438 \u043d\u0435\u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u044b\u0445 \u0441\u043b\u0443\u0447\u0430\u0435\u0432.<\/p>\n<h2 id=\"s5\">\u0422\u0430\u0431\u043b\u0438\u0446\u0430 \u0441\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f<\/h2>\n<table>\n<thead>\n<tr>\n<th>\u0410\u043b\u0433\u043e\u0440\u0438\u0442\u043c<\/th>\n<th>\u041b\u0443\u0447\u0448\u0438\u0439<\/th>\n<th>\u0421\u0440\u0435\u0434\u043d\u0438\u0439<\/th>\n<th>\u0425\u0443\u0434\u0448\u0438\u0439<\/th>\n<th>\u041f\u0430\u043c\u044f\u0442\u044c<\/th>\n<th>\u0423\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u043e\u0441\u0442\u044c<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u041f\u0443\u0437\u044b\u0440\u044c\u043a\u043e\u043c<\/td>\n<td>O(n)<\/td>\n<td>O(n^2)<\/td>\n<td>O(n^2)<\/td>\n<td>O(1)<\/td>\n<td>\u0434\u0430<\/td>\n<\/tr>\n<tr>\n<td>\u0412\u0441\u0442\u0430\u0432\u043a\u0430\u043c\u0438<\/td>\n<td>O(n)<\/td>\n<td>O(n^2)<\/td>\n<td>O(n^2)<\/td>\n<td>O(1)<\/td>\n<td>\u0434\u0430<\/td>\n<\/tr>\n<tr>\n<td>\u0412\u044b\u0431\u043e\u0440\u043e\u043c<\/td>\n<td>O(n^2)<\/td>\n<td>O(n^2)<\/td>\n<td>O(n^2)<\/td>\n<td>O(1)<\/td>\n<td>\u043d\u0435\u0442<\/td>\n<\/tr>\n<tr>\n<td>\u0411\u044b\u0441\u0442\u0440\u0430\u044f<\/td>\n<td>O(n log n)<\/td>\n<td>O(n log n)<\/td>\n<td>O(n^2)<\/td>\n<td>O(log n)<\/td>\n<td>\u043d\u0435\u0442<\/td>\n<\/tr>\n<tr>\n<td>\u0421\u043b\u0438\u044f\u043d\u0438\u0435\u043c<\/td>\n<td>O(n log n)<\/td>\n<td>O(n log n)<\/td>\n<td>O(n log n)<\/td>\n<td>O(n)<\/td>\n<td>\u0434\u0430<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>O(n) \u0432 \u043b\u0443\u0447\u0448\u0435\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0443 \u043f\u0443\u0437\u044b\u0440\u044c\u043a\u0430 \u0438 \u0432\u0441\u0442\u0430\u0432\u043e\u043a \u0434\u043e\u0441\u0442\u0438\u0433\u0430\u0435\u0442\u0441\u044f \u0442\u043e\u043b\u044c\u043a\u043e \u0441 \u043e\u043f\u0442\u0438\u043c\u0438\u0437\u0430\u0446\u0438\u0435\u0439 \u00ab\u0440\u0430\u043d\u043d\u0438\u0439 \u0432\u044b\u0445\u043e\u0434\u00bb \u043d\u0430 \u043f\u043e\u0447\u0442\u0438 \u043e\u0442\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u044b\u0445 \u0434\u0430\u043d\u043d\u044b\u0445. \u0423\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u043e\u0441\u0442\u044c \u0443\u043a\u0430\u0437\u0430\u043d\u0430 \u0434\u043b\u044f \u0431\u0430\u0437\u043e\u0432\u044b\u0445 \u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u0439 &#8212; \u0438 \u0431\u044b\u0441\u0442\u0440\u0443\u044e, \u0438 \u0432\u044b\u0431\u043e\u0440 \u043c\u043e\u0436\u043d\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c \u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u044b\u043c\u0438 \u0446\u0435\u043d\u043e\u0439 \u0443\u0441\u043b\u043e\u0436\u043d\u0435\u043d\u0438\u044f \u0438\u043b\u0438 \u043b\u0438\u0448\u043d\u0435\u0439 \u043f\u0430\u043c\u044f\u0442\u0438.<\/p>\n<h2 id=\"s6\">\u041a\u043e\u0433\u0434\u0430 \u043a\u0430\u043a\u043e\u0439 \u0432\u044b\u0431\u0438\u0440\u0430\u0442\u044c<\/h2>\n<ul>\n<li><strong>\u0423\u0447\u0435\u0431\u0430, \u043d\u0430\u0433\u043b\u044f\u0434\u043d\u043e\u0441\u0442\u044c, \u043a\u0440\u043e\u0448\u0435\u0447\u043d\u044b\u0435 \u043c\u0430\u0441\u0441\u0438\u0432\u044b<\/strong> &#8212; \u043f\u0443\u0437\u044b\u0440\u044c\u043a\u043e\u043c \u0438\u043b\u0438 \u0432\u0441\u0442\u0430\u0432\u043a\u0430\u043c\u0438: \u043a\u043e\u0434 \u0432 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0441\u0442\u0440\u043e\u043a, \u043b\u0435\u0433\u043a\u043e \u043f\u0440\u043e\u0441\u043b\u0435\u0434\u0438\u0442\u044c \u043c\u0435\u0445\u0430\u043d\u0438\u043a\u0443.<\/li>\n<li><strong>\u041f\u043e\u0447\u0442\u0438 \u043e\u0442\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u044b\u0435 \u0434\u0430\u043d\u043d\u044b\u0435<\/strong> &#8212; \u0432\u0441\u0442\u0430\u0432\u043a\u0430\u043c\u0438: \u043d\u0430 \u043d\u0438\u0445 \u043e\u043d\u0430 \u0431\u043b\u0438\u0437\u043a\u0430 \u043a O(n).<\/li>\n<li><strong>\u041d\u0443\u0436\u043d\u0430 \u0433\u0430\u0440\u0430\u043d\u0442\u0438\u044f O(n log n) \u0438 \u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u043e\u0441\u0442\u044c<\/strong> (\u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0430 \u043f\u043e \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u0438\u043c \u043f\u043e\u043b\u044f\u043c) &#8212; \u0441\u043b\u0438\u044f\u043d\u0438\u0435\u043c, \u0435\u0441\u043b\u0438 \u043d\u0435 \u0436\u0430\u043b\u043a\u043e O(n) \u043f\u0430\u043c\u044f\u0442\u0438.<\/li>\n<li><strong>\u0411\u044b\u0441\u0442\u0440\u043e \u0438 \u0432 \u0441\u0440\u0435\u0434\u043d\u0435\u043c, \u043f\u0430\u043c\u044f\u0442\u044c \u043e\u0433\u0440\u0430\u043d\u0438\u0447\u0435\u043d\u0430<\/strong> &#8212; \u0431\u044b\u0441\u0442\u0440\u0430\u044f: \u043d\u0430 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0445 \u0434\u0430\u043d\u043d\u044b\u0445 \u043e\u043d\u0430 \u043e\u0431\u044b\u0447\u043d\u043e \u043e\u0431\u0433\u043e\u043d\u044f\u0435\u0442 \u0441\u043b\u0438\u044f\u043d\u0438\u0435 \u0437\u0430 \u0441\u0447\u0435\u0442 \u0440\u0430\u0431\u043e\u0442\u044b \u043d\u0430 \u043c\u0435\u0441\u0442\u0435.<\/li>\n<li><strong>\u0420\u0435\u0430\u043b\u044c\u043d\u044b\u0439 \u043f\u0440\u043e\u0435\u043a\u0442<\/strong> &#8212; \u0432\u0441\u0442\u0440\u043e\u0435\u043d\u043d\u0430\u044f <code style=\"background:#eef0f3;color:#24292f;border-radius:4px;padding:1px 5px;font-size:0.92em;font-family:ui-monospace,SFMono-Regular,Menlo,Consolas,monospace\">sorted()<\/code>\/<code style=\"background:#eef0f3;color:#24292f;border-radius:4px;padding:1px 5px;font-size:0.92em;font-family:ui-monospace,SFMono-Regular,Menlo,Consolas,monospace\">list.sort()<\/code> (Timsort): \u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u0430\u044f, O(n log n), \u043e\u043f\u0442\u0438\u043c\u0438\u0437\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u0430\u044f. \u0421\u0432\u043e\u044e \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0443 \u043f\u0438\u0441\u0430\u0442\u044c \u0441\u0442\u043e\u0438\u0442, \u0442\u043e\u043b\u044c\u043a\u043e \u0435\u0441\u043b\u0438 \u0435\u0441\u0442\u044c \u043e\u0441\u043e\u0431\u044b\u0435 \u0442\u0440\u0435\u0431\u043e\u0432\u0430\u043d\u0438\u044f.<\/li>\n<\/ul>\n<h2 id=\"s7\">\u0412\u044b\u0432\u043e\u0434\u044b<\/h2>\n<ul>\n<li>\u0410\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0438 \u0434\u0430\u044e\u0442 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u0439 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442, \u043d\u043e \u0440\u0430\u0437\u043b\u0438\u0447\u0430\u044e\u0442\u0441\u044f \u043f\u043e \u0441\u043a\u043e\u0440\u043e\u0441\u0442\u0438, \u043f\u0430\u043c\u044f\u0442\u0438 \u0438 \u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u043e\u0441\u0442\u0438 &#8212; \u043f\u043e \u044d\u0442\u0438\u043c \u0442\u0440\u0435\u043c \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430\u043c \u0438\u0445 \u0438 \u0432\u044b\u0431\u0438\u0440\u0430\u044e\u0442.<\/li>\n<li>\u041f\u0440\u043e\u0441\u0442\u044b\u0435 \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0438 (\u043f\u0443\u0437\u044b\u0440\u044c\u043a\u043e\u043c, \u0432\u0441\u0442\u0430\u0432\u043a\u0430\u043c\u0438, \u0432\u044b\u0431\u043e\u0440\u043e\u043c) \u0440\u0430\u0431\u043e\u0442\u0430\u044e\u0442 \u043d\u0430 \u043c\u0435\u0441\u0442\u0435 \u0437\u0430 O(n^2) \u0438 \u043f\u043e\u0434\u0445\u043e\u0434\u044f\u0442 \u0434\u043b\u044f \u0443\u0447\u0435\u0431\u044b \u0438 \u043c\u0430\u043b\u044b\u0445 \u043c\u0430\u0441\u0441\u0438\u0432\u043e\u0432.<\/li>\n<li>\u0411\u044b\u0441\u0442\u0440\u0430\u044f \u0438 \u0441\u043b\u0438\u044f\u043d\u0438\u0435\u043c \u0434\u0430\u044e\u0442 O(n log n): \u0431\u044b\u0441\u0442\u0440\u0430\u044f \u044d\u043a\u043e\u043d\u043e\u043c\u0438\u0442 \u043f\u0430\u043c\u044f\u0442\u044c, \u043d\u043e \u0432 \u0445\u0443\u0434\u0448\u0435\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0434\u0435\u0433\u0440\u0430\u0434\u0438\u0440\u0443\u0435\u0442 \u0434\u043e O(n^2); \u0441\u043b\u0438\u044f\u043d\u0438\u0435 \u0441\u0442\u0430\u0431\u0438\u043b\u044c\u043d\u043e \u0431\u044b\u0441\u0442\u0440\u043e\u0435 \u0438 \u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u043e\u0435, \u043d\u043e \u0442\u0440\u0435\u0431\u0443\u0435\u0442 O(n) \u043f\u0430\u043c\u044f\u0442\u0438.<\/li>\n<li>\u0423\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u043e\u0441\u0442\u044c \u0432\u0430\u0436\u043d\u0430 \u043f\u0440\u0438 \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0435 \u043f\u043e \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u0438\u043c \u043a\u043b\u044e\u0447\u0430\u043c \u043f\u043e\u0434\u0440\u044f\u0434; \u0432\u044b\u0431\u043e\u0440\u043e\u043c \u0438 \u0431\u0430\u0437\u043e\u0432\u044b\u0439 quicksort \u043d\u0435\u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u044b.<\/li>\n<li>\u0412 \u0440\u0430\u0431\u043e\u0447\u0435\u043c \u043a\u043e\u0434\u0435 \u043f\u043e\u0447\u0442\u0438 \u0432\u0441\u0435\u0433\u0434\u0430 \u0431\u0435\u0440\u0443\u0442 \u0432\u0441\u0442\u0440\u043e\u0435\u043d\u043d\u0443\u044e <code style=\"background:#eef0f3;color:#24292f;border-radius:4px;padding:1px 5px;font-size:0.92em;font-family:ui-monospace,SFMono-Regular,Menlo,Consolas,monospace\">sorted()<\/code>\/<code style=\"background:#eef0f3;color:#24292f;border-radius:4px;padding:1px 5px;font-size:0.92em;font-family:ui-monospace,SFMono-Regular,Menlo,Consolas,monospace\">list.sort()<\/code> (Timsort) &#8212; \u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u0443\u044e \u0438 \u0437\u0430 O(n log n).<\/li>\n<\/ul>\n<h2 id=\"s8\">\u0413\u0434\u0435 \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f \/ \u0441\u0432\u044f\u0437\u044c \u0441 \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0439<\/h2>\n<p>\u0421\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0430 &#8212; \u044d\u0442\u043e \u043e\u0441\u043d\u043e\u0432\u0430 \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u0430 \u043f\u0440\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u0437\u0430\u0434\u0430\u0447: \u043f\u043e\u0438\u0441\u043a (\u0431\u0438\u043d\u0430\u0440\u043d\u044b\u0439 \u043f\u043e\u0438\u0441\u043a \u0440\u0430\u0431\u043e\u0442\u0430\u0435\u0442 \u0442\u043e\u043b\u044c\u043a\u043e \u043d\u0430 \u043e\u0442\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u044b\u0445 \u0434\u0430\u043d\u043d\u044b\u0445), \u0443\u0441\u0442\u0440\u0430\u043d\u0435\u043d\u0438\u0435 \u0434\u0443\u0431\u043b\u0438\u043a\u0430\u0442\u043e\u0432, \u0433\u0440\u0443\u043f\u043f\u0438\u0440\u043e\u0432\u043a\u0430, \u0440\u0430\u043d\u0436\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u0432\u044b\u0434\u0430\u0447\u0438. \u041f\u043e\u043d\u0438\u043c\u0430\u043d\u0438\u0435 \u0441\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u0438 O() \u0438 \u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u043e\u0441\u0442\u0438 \u043f\u043e\u043c\u043e\u0433\u0430\u0435\u0442 \u043d\u0435 \u0442\u043e\u043b\u044c\u043a\u043e \u0432\u044b\u0431\u0438\u0440\u0430\u0442\u044c \u0433\u043e\u0442\u043e\u0432\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e, \u043d\u043e \u0438 \u043e\u0446\u0435\u043d\u0438\u0432\u0430\u0442\u044c, \u043f\u043e\u0447\u0435\u043c\u0443 \u043e\u0434\u043d\u0430 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u044f \u043d\u0430 \u0431\u043e\u043b\u044c\u0448\u0438\u0445 \u0434\u0430\u043d\u043d\u044b\u0445 \u0437\u0430\u043d\u0438\u043c\u0430\u0435\u0442 \u0441\u0435\u043a\u0443\u043d\u0434\u044b, \u0430 \u0434\u0440\u0443\u0433\u0430\u044f &#8212; \u043c\u0438\u043d\u0443\u0442\u044b.<\/p>\n<div class=\"oj-cta\" style=\"background:#fbf4e4;border-left:4px solid #c9962b;border-radius:8px;padding:16px 20px;margin:24px 0\">\n<p style=\"margin:0 0 8px\"><strong>\u041e\u0441\u0432\u043e\u0439\u0442\u0435 \u0442\u0435\u043c\u0443 \u043d\u0430 \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u0435<\/strong><\/p>\n<p>\u0421\u0438\u0441\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u0440\u0430\u0437\u043e\u0431\u0440\u0430\u0442\u044c \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b, \u0438\u0445 \u0441\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c \u0438 \u043f\u0440\u0438\u043c\u0435\u043d\u0435\u043d\u0438\u0435 \u043c\u043e\u0436\u043d\u043e \u043d\u0430 \u043a\u0443\u0440\u0441\u0435 <a href=\"https:\/\/otus.ru\/lessons\/algorithm\/?int_article=sortirovka-osnovnye-principy&amp;int_place=article&amp;int_variant=v1\">\u0410\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b \u0438 \u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u044b \u0434\u0430\u043d\u043d\u044b\u0445<\/a>: \u0442\u0430\u043c \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0438 \u0438\u0434\u0443\u0442 \u0432 \u0441\u0432\u044f\u0437\u043a\u0435 \u0441\u043e \u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u0430\u043c\u0438 \u0434\u0430\u043d\u043d\u044b\u0445, \u043d\u0430 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u043e\u043d\u0438 \u0440\u0430\u0431\u043e\u0442\u0430\u044e\u0442. \u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0444\u043e\u0440\u043c\u0430\u0442 \u0438 \u0442\u0435\u043c\u044b \u0432\u0436\u0438\u0432\u0443\u044e \u043c\u043e\u0436\u043d\u043e \u043d\u0430 <a href=\"https:\/\/otus.ru\/events\/?int_article=sortirovka-osnovnye-principy&amp;int_place=article&amp;int_variant=v1\">\u043e\u0442\u043a\u0440\u044b\u0442\u044b\u0445 \u0443\u0440\u043e\u043a\u0430\u0445 Otus<\/a> &#8212; \u044d\u0442\u043e \u0431\u0435\u0441\u043f\u043b\u0430\u0442\u043d\u044b\u0435 \u0437\u0430\u043d\u044f\u0442\u0438\u044f \u0441 \u0440\u0430\u0437\u0431\u043e\u0440\u043e\u043c \u043a\u043e\u043d\u043a\u0440\u0435\u0442\u043d\u044b\u0445 \u0437\u0430\u0434\u0430\u0447.<\/p>\n<\/div>\n<p>\u0421\u043c\u0435\u0436\u043d\u044b\u0435 \u0442\u0435\u043c\u044b: <a href=\"https:\/\/otus.ru\/journal\/puzyrkovaya-sortirovka-na-python-i-s\/\">\u041f\u0443\u0437\u044b\u0440\u044c\u043a\u043e\u0432\u0430\u044f \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0430 \u043d\u0430 Python \u0438 C<\/a>, <a href=\"https:\/\/otus.ru\/journal\/sortirovka-massiva-na-php\/\">\u0421\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0430 \u043c\u0430\u0441\u0441\u0438\u0432\u0430 \u043d\u0430 PHP<\/a>.<\/p>\n<h2 id=\"s9\">FAQ<\/h2>\n<p><strong>\u041a\u0430\u043a\u0430\u044f \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0430 \u0441\u0430\u043c\u0430\u044f \u0431\u044b\u0441\u0442\u0440\u0430\u044f?<\/strong><br \/>\n\u0423\u043d\u0438\u0432\u0435\u0440\u0441\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043e\u0442\u0432\u0435\u0442\u0430 \u043d\u0435\u0442: \u043d\u0430 \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0445 \u0434\u0430\u043d\u043d\u044b\u0445 \u043e\u0431\u044b\u0447\u043d\u043e \u0431\u044b\u0441\u0442\u0440\u0435\u0435 quicksort, \u043d\u0430 \u043f\u043e\u0447\u0442\u0438 \u043e\u0442\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u044b\u0445 &#8212; \u0432\u0441\u0442\u0430\u0432\u043a\u0438, \u0430 \u0433\u0430\u0440\u0430\u043d\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u044b\u0439 O(n log n) \u0431\u0435\u0437 \u0434\u0435\u0433\u0440\u0430\u0434\u0430\u0446\u0438\u0438 \u0434\u0430\u0435\u0442 \u0441\u043b\u0438\u044f\u043d\u0438\u0435. \u0412 \u0431\u043e\u043b\u044c\u0448\u0438\u043d\u0441\u0442\u0432\u0435 \u0437\u0430\u0434\u0430\u0447 \u043e\u043f\u0442\u0438\u043c\u0430\u043b\u044c\u043d\u0430 \u0432\u0441\u0442\u0440\u043e\u0435\u043d\u043d\u0430\u044f Timsort.<\/p>\n<p><strong>\u0417\u0430\u0447\u0435\u043c \u0438\u0437\u0443\u0447\u0430\u0442\u044c \u043f\u0443\u0437\u044b\u0440\u0435\u043a, \u0435\u0441\u043b\u0438 \u0435\u0433\u043e \u043d\u0435 \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u044e\u0442?<\/strong><br \/>\n\u041e\u043d \u043d\u0430\u0433\u043b\u044f\u0434\u043d\u0435\u0435 \u0432\u0441\u0435\u0433\u043e \u043f\u043e\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u0442 \u043c\u0435\u0445\u0430\u043d\u0438\u043a\u0443 \u0441\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0438 \u043f\u0435\u0440\u0435\u0441\u0442\u0430\u043d\u043e\u0432\u043e\u043a \u0438 \u0441\u043b\u0443\u0436\u0438\u0442 \u043e\u0442\u043f\u0440\u0430\u0432\u043d\u043e\u0439 \u0442\u043e\u0447\u043a\u043e\u0439 \u0434\u043b\u044f \u043f\u043e\u043d\u0438\u043c\u0430\u043d\u0438\u044f \u0431\u043e\u043b\u0435\u0435 \u0441\u043b\u043e\u0436\u043d\u044b\u0445 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u043e\u0432. \u0412 \u043f\u0440\u043e\u0434\u0430\u043a\u0448\u0435\u043d\u0435 \u0435\u0433\u043e \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043d\u0435 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044e\u0442.<\/p>\n<p><strong>\u0427\u0442\u043e \u0437\u043d\u0430\u0447\u0438\u0442 \u00ab\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0430 \u043d\u0430 \u043c\u0435\u0441\u0442\u0435\u00bb?<\/strong><br \/>\n\u0410\u043b\u0433\u043e\u0440\u0438\u0442\u043c \u043f\u0435\u0440\u0435\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u044b \u0432\u043d\u0443\u0442\u0440\u0438 \u0441\u0430\u043c\u043e\u0433\u043e \u043c\u0430\u0441\u0441\u0438\u0432\u0430 \u0438 \u0442\u0440\u0430\u0442\u0438\u0442 \u043d\u0430 \u044d\u0442\u043e O(1) \u0434\u043e\u043f\u043e\u043b\u043d\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u043f\u0430\u043c\u044f\u0442\u0438. \u0421\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0430 \u0441\u043b\u0438\u044f\u043d\u0438\u0435\u043c \u0442\u0430\u043a \u043d\u0435 \u0443\u043c\u0435\u0435\u0442 &#8212; \u0435\u0439 \u043d\u0443\u0436\u0435\u043d \u043e\u0442\u0434\u0435\u043b\u044c\u043d\u044b\u0439 \u0431\u0443\u0444\u0435\u0440 \u0440\u0430\u0437\u043c\u0435\u0440\u043e\u043c O(n).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0421\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0430 &#8212; \u044d\u0442\u043e \u043f\u0435\u0440\u0435\u0441\u0442\u0430\u043d\u043e\u0432\u043a\u0430 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u043e\u0432 \u043c\u0430\u0441\u0441\u0438\u0432\u0430 \u0438\u043b\u0438 \u0441\u043f\u0438\u0441\u043a\u0430 \u0432 \u0437\u0430\u0434\u0430\u043d\u043d\u043e\u043c \u043f\u043e\u0440\u044f\u0434\u043a\u0435: \u043f\u043e \u0432\u043e\u0437\u0440\u0430\u0441\u0442\u0430\u043d\u0438\u044e, \u043f\u043e \u0443\u0431\u044b\u0432\u0430\u043d\u0438\u044e \u0438\u043b\u0438 \u043f\u043e \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u043b\u044c\u043d\u043e\u043c\u0443 \u043a\u043b\u044e\u0447\u0443. \u0417\u0430\u0434\u0430\u0447\u0430 \u043e\u0434\u043d\u0430, \u0430 \u0441\u043f\u043e\u0441\u043e\u0431\u043e\u0432 \u0435\u0435 \u0440\u0435\u0448\u0438\u0442\u044c \u043c\u043d\u043e\u0433\u043e, \u0438 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