{"id":764,"date":"2026-09-16T09:00:00","date_gmt":"2026-09-16T09:00:00","guid":{"rendered":"https:\/\/otus.ru\/journal\/?p=764"},"modified":"2026-09-25T15:51:59","modified_gmt":"2026-09-25T15:51:59","slug":"derevo-kak-struktura-dannyh","status":"publish","type":"post","link":"https:\/\/otus.ru\/journal\/derevo-kak-struktura-dannyh\/","title":{"rendered":"\u0414\u0435\u0440\u0435\u0432\u043e \u043a\u0430\u043a \u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u0430 \u0434\u0430\u043d\u043d\u044b\u0445: \u0442\u0435\u0440\u043c\u0438\u043d\u044b, \u0432\u0438\u0434\u044b \u0438 \u043e\u0431\u0445\u043e\u0434"},"content":{"rendered":"<p><strong>\u0414\u0435\u0440\u0435\u0432\u043e<\/strong> &#8212; \u044d\u0442\u043e \u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u0430 \u0434\u0430\u043d\u043d\u044b\u0445, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u0445\u0440\u0430\u043d\u0438\u0442 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u044b (\u0443\u0437\u043b\u044b) \u0438 \u0441\u0432\u044f\u0437\u0438 \u043c\u0435\u0436\u0434\u0443 \u043d\u0438\u043c\u0438 \u0432 \u0432\u0438\u0434\u0435 \u0438\u0435\u0440\u0430\u0440\u0445\u0438\u0438: \u0443 \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0443\u0437\u043b\u0430 \u0435\u0441\u0442\u044c \u043e\u0434\u0438\u043d \u0440\u043e\u0434\u0438\u0442\u0435\u043b\u044c \u0438 \u043b\u044e\u0431\u043e\u0435 \u0447\u0438\u0441\u043b\u043e \u043f\u043e\u0442\u043e\u043c\u043a\u043e\u0432, \u0430 \u043a\u043e\u0440\u0435\u043d\u044c &#8212; \u0435\u0434\u0438\u043d\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0439 \u0443\u0437\u0435\u043b \u0431\u0435\u0437 \u0440\u043e\u0434\u0438\u0442\u0435\u043b\u044f. \u0424\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e \u0434\u0435\u0440\u0435\u0432\u043e &#8212; \u044d\u0442\u043e \u0447\u0430\u0441\u0442\u043d\u044b\u0439 \u0441\u043b\u0443\u0447\u0430\u0439 \u0433\u0440\u0430\u0444\u0430: \u0441\u0432\u044f\u0437\u043d\u044b\u0439 \u0433\u0440\u0430\u0444 \u0431\u0435\u0437 \u0446\u0438\u043a\u043b\u043e\u0432.<\/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\">\u0414\u0435\u0440\u0435\u0432\u043e \u0438 \u0433\u0440\u0430\u0444: \u0432 \u0447\u0435\u043c \u0440\u0430\u0437\u043d\u0438\u0446\u0430<\/a><\/li>\n<li><a href=\"#s2\">\u041e\u0441\u043d\u043e\u0432\u043d\u044b\u0435 \u0442\u0435\u0440\u043c\u0438\u043d\u044b<\/a><\/li>\n<li><a href=\"#s3\">\u0412\u0438\u0434\u044b \u0434\u0435\u0440\u0435\u0432\u044c\u0435\u0432<\/a><\/li>\n<li><a href=\"#s4\">\u0411\u0438\u043d\u0430\u0440\u043d\u043e\u0435 \u0434\u0435\u0440\u0435\u0432\u043e \u043f\u043e\u0438\u0441\u043a\u0430<\/a><\/li>\n<li><a href=\"#s5\">\u041e\u0431\u0445\u043e\u0434\u044b \u0434\u0435\u0440\u0435\u0432\u0430<\/a><\/li>\n<li><a href=\"#s6\">\u0412\u044b\u0432\u043e\u0434\u044b<\/a><\/li>\n<li><a href=\"#s7\">\u0413\u0434\u0435 \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f \u0438 \u0447\u0442\u043e \u0443\u0447\u0438\u0442\u044c \u0434\u0430\u043b\u044c\u0448\u0435<\/a><\/li>\n<li><a href=\"#s8\">FAQ<\/a><\/li>\n<\/ol>\n<\/div>\n<p>\u041d\u0438\u0436\u0435 \u0440\u0430\u0437\u0431\u0435\u0440\u0435\u043c \u0431\u0430\u0437\u043e\u0432\u044b\u0435 \u0442\u0435\u0440\u043c\u0438\u043d\u044b (\u0443\u0437\u0435\u043b, \u043a\u043e\u0440\u0435\u043d\u044c, \u043b\u0438\u0441\u0442, \u0440\u0435\u0431\u0440\u043e, \u0432\u044b\u0441\u043e\u0442\u0430 \u0438 \u0433\u043b\u0443\u0431\u0438\u043d\u0430), \u0432\u0438\u0434\u044b \u0434\u0435\u0440\u0435\u0432\u044c\u0435\u0432, \u0443\u0441\u0442\u0440\u043e\u0439\u0441\u0442\u0432\u043e \u0431\u0438\u043d\u0430\u0440\u043d\u043e\u0433\u043e \u0434\u0435\u0440\u0435\u0432\u0430 \u043f\u043e\u0438\u0441\u043a\u0430 \u0438 \u0442\u0440\u0438 \u043a\u043b\u0430\u0441\u0441\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u043e\u0431\u0445\u043e\u0434\u0430 &#8212; \u0441 \u043f\u0440\u043e\u0433\u043e\u043d\u044f\u0435\u043c\u044b\u043c\u0438 \u043f\u0440\u0438\u043c\u0435\u0440\u0430\u043c\u0438 \u043d\u0430 Python. \u0412\u0441\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0432 \u0441\u0442\u0430\u0442\u044c\u0435 \u0437\u0430\u043f\u0443\u0449\u0435\u043d\u044b, \u0432\u044b\u0432\u043e\u0434 \u0432 \u043a\u043e\u043c\u043c\u0435\u043d\u0442\u0430\u0440\u0438\u044f\u0445 &#8212; \u0440\u0435\u0430\u043b\u044c\u043d\u044b\u0439.<\/p>\n<h2 id=\"s1\">\u0414\u0435\u0440\u0435\u0432\u043e \u0438 \u0433\u0440\u0430\u0444: \u0432 \u0447\u0435\u043c \u0440\u0430\u0437\u043d\u0438\u0446\u0430<\/h2>\n<p>\u0413\u0440\u0430\u0444 &#8212; \u044d\u0442\u043e \u043d\u0430\u0431\u043e\u0440 \u0432\u0435\u0440\u0448\u0438\u043d \u0438 \u0441\u0432\u044f\u0437\u0435\u0439 (\u0440\u0435\u0431\u0435\u0440) \u043c\u0435\u0436\u0434\u0443 \u043d\u0438\u043c\u0438; \u0441\u0432\u044f\u0437\u0438 \u043c\u043e\u0433\u0443\u0442 \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u044b\u0432\u0430\u0442\u044c \u0446\u0438\u043a\u043b\u044b, \u0430 \u0443 \u0432\u0435\u0440\u0448\u0438\u043d\u044b \u043c\u043e\u0436\u0435\u0442 \u0431\u044b\u0442\u044c \u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0443\u0433\u043e\u0434\u043d\u043e \u0441\u043e\u0441\u0435\u0434\u0435\u0439. \u0414\u0435\u0440\u0435\u0432\u043e &#8212; \u0431\u043e\u043b\u0435\u0435 \u0443\u0437\u043a\u0438\u0439 \u0441\u043b\u0443\u0447\u0430\u0439: \u044d\u0442\u043e \u0441\u0432\u044f\u0437\u043d\u044b\u0439 \u0433\u0440\u0430\u0444 \u0431\u0435\u0437 \u0446\u0438\u043a\u043b\u043e\u0432, \u0432 \u043a\u043e\u0442\u043e\u0440\u043e\u043c \u0438\u0437 \u043a\u043e\u0440\u043d\u044f \u043a \u043b\u044e\u0431\u043e\u043c\u0443 \u0443\u0437\u043b\u0443 \u0432\u0435\u0434\u0435\u0442 \u0440\u043e\u0432\u043d\u043e \u043e\u0434\u0438\u043d \u043f\u0443\u0442\u044c.<\/p>\n<p>\u041e\u0442\u0441\u044e\u0434\u0430 \u043a\u043b\u044e\u0447\u0435\u0432\u043e\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u043e: \u0432 \u0434\u0435\u0440\u0435\u0432\u0435 \u0438\u0437 N \u0443\u0437\u043b\u043e\u0432 \u0440\u043e\u0432\u043d\u043e N \u043c\u0438\u043d\u0443\u0441 1 \u0440\u0435\u0431\u0440\u043e, \u0438 \u0443\u0434\u0430\u043b\u0435\u043d\u0438\u0435 \u043b\u044e\u0431\u043e\u0433\u043e \u0440\u0435\u0431\u0440\u0430 \u0440\u0430\u0437\u0431\u0438\u0432\u0430\u0435\u0442 \u0435\u0433\u043e \u043d\u0430 \u0434\u0432\u0435 \u0447\u0430\u0441\u0442\u0438.<\/p>\n<h2 id=\"s2\">\u041e\u0441\u043d\u043e\u0432\u043d\u044b\u0435 \u0442\u0435\u0440\u043c\u0438\u043d\u044b<\/h2>\n<p>\u0420\u0430\u0437\u0431\u0435\u0440\u0435\u043c \u0441\u043b\u043e\u0432\u0430\u0440\u044c, \u043a\u043e\u0442\u043e\u0440\u044b\u043c \u0434\u0430\u043b\u044c\u0448\u0435 \u043e\u043f\u0438\u0441\u044b\u0432\u0430\u044e\u0442 \u043b\u044e\u0431\u044b\u0435 \u0434\u0435\u0440\u0435\u0432\u044c\u044f.<\/p>\n<ul>\n<li><strong>\u0423\u0437\u0435\u043b<\/strong> (\u0432\u0435\u0440\u0448\u0438\u043d\u0430) &#8212; \u044d\u043b\u0435\u043c\u0435\u043d\u0442 \u0434\u0435\u0440\u0435\u0432\u0430, \u0445\u0440\u0430\u043d\u0438\u0442 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 (\u043a\u043b\u044e\u0447) \u0438 \u0441\u0441\u044b\u043b\u043a\u0438 \u043d\u0430 \u043f\u043e\u0442\u043e\u043c\u043a\u043e\u0432.<\/li>\n<li><strong>\u041a\u043e\u0440\u0435\u043d\u044c<\/strong> &#8212; \u0435\u0434\u0438\u043d\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0439 \u0443\u0437\u0435\u043b \u0431\u0435\u0437 \u0440\u043e\u0434\u0438\u0442\u0435\u043b\u044f, \u0441 \u043d\u0435\u0433\u043e \u043d\u0430\u0447\u0438\u043d\u0430\u0435\u0442\u0441\u044f \u0434\u0435\u0440\u0435\u0432\u043e.<\/li>\n<li><strong>\u0420\u0435\u0431\u0440\u043e<\/strong> (\u0432\u0435\u0442\u0432\u044c) &#8212; \u0441\u0432\u044f\u0437\u044c \u043c\u0435\u0436\u0434\u0443 \u0440\u043e\u0434\u0438\u0442\u0435\u043b\u0435\u043c \u0438 \u043f\u043e\u0442\u043e\u043c\u043a\u043e\u043c.<\/li>\n<li><strong>\u041b\u0438\u0441\u0442<\/strong> &#8212; \u0443\u0437\u0435\u043b \u0431\u0435\u0437 \u043f\u043e\u0442\u043e\u043c\u043a\u043e\u0432 (\u043a\u043e\u043d\u0435\u0446 \u0432\u0435\u0442\u0432\u0438).<\/li>\n<li><strong>\u0420\u043e\u0434\u0438\u0442\u0435\u043b\u044c<\/strong> \u0438 <strong>\u043f\u043e\u0442\u043e\u043c\u043e\u043a<\/strong> &#8212; \u0443\u0437\u043b\u044b \u043d\u0430 \u0441\u043e\u0441\u0435\u0434\u043d\u0438\u0445 \u0443\u0440\u043e\u0432\u043d\u044f\u0445, \u0441\u043e\u0435\u0434\u0438\u043d\u0435\u043d\u043d\u044b\u0435 \u0440\u0435\u0431\u0440\u043e\u043c: \u0440\u043e\u0434\u0438\u0442\u0435\u043b\u044c \u0432\u044b\u0448\u0435, \u043f\u043e\u0442\u043e\u043c\u043e\u043a \u043d\u0438\u0436\u0435.<\/li>\n<li><strong>\u041f\u0440\u0435\u0434\u043a\u0438<\/strong> \u0438 <strong>\u043f\u043e\u0442\u043e\u043c\u043a\u0438<\/strong> &#8212; \u0432\u0441\u0435 \u0443\u0437\u043b\u044b \u0432\u0432\u0435\u0440\u0445 \u043f\u043e \u043f\u0443\u0442\u0438 \u043a \u043a\u043e\u0440\u043d\u044e \u0438 \u0432\u043d\u0438\u0437 \u043f\u043e \u043f\u043e\u0434\u0434\u0435\u0440\u0435\u0432\u0443 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0435\u043d\u043d\u043e.<\/li>\n<li><strong>\u041f\u043e\u0434\u0434\u0435\u0440\u0435\u0432\u043e<\/strong> &#8212; \u043b\u044e\u0431\u043e\u0439 \u0443\u0437\u0435\u043b \u0432\u043c\u0435\u0441\u0442\u0435 \u0441\u043e \u0432\u0441\u0435\u043c\u0438 \u0435\u0433\u043e \u043f\u043e\u0442\u043e\u043c\u043a\u0430\u043c\u0438; \u0441\u0430\u043c\u043e \u043f\u043e \u0441\u0435\u0431\u0435 \u0442\u043e\u0436\u0435 \u043f\u043e\u043b\u043d\u043e\u0446\u0435\u043d\u043d\u043e\u0435 \u0434\u0435\u0440\u0435\u0432\u043e (\u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u0443\u0434\u043e\u0431\u043d\u043e \u043e\u043f\u0438\u0441\u044b\u0432\u0430\u0442\u044c \u0440\u0435\u043a\u0443\u0440\u0441\u0438\u0432\u043d\u043e).<\/li>\n<li><strong>\u0421\u0442\u0435\u043f\u0435\u043d\u044c \u0443\u0437\u043b\u0430<\/strong> &#8212; \u0447\u0438\u0441\u043b\u043e \u0435\u0433\u043e \u043f\u0440\u044f\u043c\u044b\u0445 \u043f\u043e\u0442\u043e\u043c\u043a\u043e\u0432; \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u0434\u0435\u0440\u0435\u0432\u0430 &#8212; \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u0430\u044f \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u0441\u0440\u0435\u0434\u0438 \u0435\u0433\u043e \u0443\u0437\u043b\u043e\u0432.<\/li>\n<\/ul>\n<h3>\u0412\u044b\u0441\u043e\u0442\u0430 \u0438 \u0433\u043b\u0443\u0431\u0438\u043d\u0430: \u043d\u0435 \u043f\u0443\u0442\u0430\u0442\u044c<\/h3>\n<p>\u042d\u0442\u0438 \u0434\u0432\u0430 \u0442\u0435\u0440\u043c\u0438\u043d\u0430 \u0447\u0430\u0441\u0442\u043e \u0441\u043c\u0435\u0448\u0438\u0432\u0430\u044e\u0442, \u0445\u043e\u0442\u044f \u043e\u043d\u0438 \u0438\u0437\u043c\u0435\u0440\u044f\u044e\u0442 \u0440\u0430\u0437\u043d\u043e\u0435.<\/p>\n<p><strong>\u0413\u043b\u0443\u0431\u0438\u043d\u0430 \u0443\u0437\u043b\u0430<\/strong> &#8212; \u044d\u0442\u043e \u0434\u043b\u0438\u043d\u0430 \u043f\u0443\u0442\u0438 \u043e\u0442 \u043a\u043e\u0440\u043d\u044f \u0434\u043e \u044d\u0442\u043e\u0433\u043e \u0443\u0437\u043b\u0430. \u0423 \u043a\u043e\u0440\u043d\u044f \u0433\u043b\u0443\u0431\u0438\u043d\u0430 0, \u0443 \u0435\u0433\u043e \u043f\u0440\u044f\u043c\u044b\u0445 \u043f\u043e\u0442\u043e\u043c\u043a\u043e\u0432 &#8212; 1, \u0438 \u0442\u0430\u043a \u0434\u0430\u043b\u0435\u0435 \u0432\u043d\u0438\u0437.<\/p>\n<p><strong>\u0412\u044b\u0441\u043e\u0442\u0430 \u0443\u0437\u043b\u0430<\/strong> &#8212; \u044d\u0442\u043e \u0434\u043b\u0438\u043d\u0430 \u0441\u0430\u043c\u043e\u0433\u043e \u0434\u043b\u0438\u043d\u043d\u043e\u0433\u043e \u043f\u0443\u0442\u0438 \u043e\u0442 \u0443\u0437\u043b\u0430 \u0432\u043d\u0438\u0437 \u0434\u043e \u043b\u0438\u0441\u0442\u0430. \u0412\u044b\u0441\u043e\u0442\u0430 \u0434\u0435\u0440\u0435\u0432\u0430 \u0440\u0430\u0432\u043d\u0430 \u0432\u044b\u0441\u043e\u0442\u0435 \u043a\u043e\u0440\u043d\u044f, \u0442\u043e \u0435\u0441\u0442\u044c \u0433\u043b\u0443\u0431\u0438\u043d\u0435 \u0441\u0430\u043c\u043e\u0433\u043e \u0434\u0430\u043b\u044c\u043d\u0435\u0433\u043e \u043b\u0438\u0441\u0442\u0430.<\/p>\n<p>\u0412\u0430\u0436\u043d\u0430 \u043e\u0433\u043e\u0432\u043e\u0440\u043a\u0430 \u043e \u0435\u0434\u0438\u043d\u0438\u0446\u0430\u0445: \u0434\u043b\u0438\u043d\u0443 \u043f\u0443\u0442\u0438 \u0441\u0447\u0438\u0442\u0430\u044e\u0442 \u0432 \u0440\u0435\u0431\u0440\u0430\u0445 \u0438\u043b\u0438 \u0432 \u0443\u0437\u043b\u0430\u0445, \u0432\u0441\u0442\u0440\u0435\u0447\u0430\u044e\u0442\u0441\u044f \u043e\u0431\u0430 \u0441\u043e\u0433\u043b\u0430\u0448\u0435\u043d\u0438\u044f. \u0414\u0430\u043b\u044c\u0448\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\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\">height<\/code> \u0441\u0447\u0438\u0442\u0430\u0435\u0442 \u0447\u0438\u0441\u043b\u043e \u0443\u0437\u043b\u043e\u0432 \u043d\u0430 \u0441\u0430\u043c\u043e\u043c \u0434\u043b\u0438\u043d\u043d\u043e\u043c \u043f\u0443\u0442\u0438 (\u0447\u0438\u0441\u043b\u043e \u0443\u0440\u043e\u0432\u043d\u0435\u0439) \u0438 \u0434\u043b\u044f \u043d\u0430\u0448\u0435\u0433\u043e \u043f\u0440\u0438\u043c\u0435\u0440\u0430 \u0432\u0435\u0440\u043d\u0435\u0442 4; \u043f\u0440\u0438 \u043f\u043e\u0434\u0441\u0447\u0435\u0442\u0435 \u0432 \u0440\u0435\u0431\u0440\u0430\u0445 \u0442\u0430 \u0436\u0435 \u0432\u044b\u0441\u043e\u0442\u0430 \u0440\u0430\u0432\u043d\u0430 3.<\/p>\n<h2 id=\"s3\">\u0412\u0438\u0434\u044b \u0434\u0435\u0440\u0435\u0432\u044c\u0435\u0432<\/h2>\n<p>\u0414\u0435\u0440\u0435\u0432\u044c\u044f \u0440\u0430\u0437\u043b\u0438\u0447\u0430\u044e\u0442 \u043f\u043e \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0443\u0437\u043b\u043e\u0432 \u0438 \u043f\u043e \u0442\u043e\u043c\u0443, \u043a\u0430\u043a \u0437\u0430\u043f\u043e\u043b\u043d\u0435\u043d\u044b \u0443\u0440\u043e\u0432\u043d\u0438. \u041d\u0438\u0436\u0435 &#8212; \u043e\u0440\u0438\u0435\u043d\u0442\u0438\u0440 \u043f\u043e \u0437\u0430\u0434\u0430\u0447\u0430\u043c, \u0430 \u043d\u0435 \u043f\u043e\u043b\u043d\u044b\u0439 \u043a\u0430\u0442\u0430\u043b\u043e\u0433.<\/p>\n<table>\n<thead>\n<tr>\n<th>\u0412\u0438\u0434 \u0434\u0435\u0440\u0435\u0432\u0430<\/th>\n<th>\u0427\u0435\u043c \u043e\u0442\u043b\u0438\u0447\u0430\u0435\u0442\u0441\u044f<\/th>\n<th>\u0413\u0434\u0435 \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u0411\u0438\u043d\u0430\u0440\u043d\u043e\u0435<\/td>\n<td>\u0443 \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0443\u0437\u043b\u0430 \u043d\u0435 \u0431\u043e\u043b\u044c\u0448\u0435 \u0434\u0432\u0443\u0445 \u043f\u043e\u0442\u043e\u043c\u043a\u043e\u0432 (\u043b\u0435\u0432\u044b\u0439 \u0438 \u043f\u0440\u0430\u0432\u044b\u0439)<\/td>\n<td>\u0431\u0430\u0437\u0430 \u0434\u043b\u044f \u0431\u043e\u043b\u044c\u0448\u0438\u043d\u0441\u0442\u0432\u0430 \u0443\u0447\u0435\u0431\u043d\u044b\u0445 \u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440<\/td>\n<\/tr>\n<tr>\n<td>\u0411\u0438\u043d\u0430\u0440\u043d\u043e\u0435 \u0434\u0435\u0440\u0435\u0432\u043e \u043f\u043e\u0438\u0441\u043a\u0430 (BST)<\/td>\n<td>\u0431\u0438\u043d\u0430\u0440\u043d\u043e\u0435 + \u0441\u043b\u0435\u0432\u0430 \u043c\u0435\u043d\u044c\u0448\u0438\u0435 \u043a\u043b\u044e\u0447\u0438, \u0441\u043f\u0440\u0430\u0432\u0430 \u0431\u043e\u043b\u044c\u0448\u0438\u0435<\/td>\n<td>\u043f\u043e\u0438\u0441\u043a, \u0432\u0441\u0442\u0430\u0432\u043a\u0430 \u0438 \u0443\u0434\u0430\u043b\u0435\u043d\u0438\u0435 \u043f\u043e \u043a\u043b\u044e\u0447\u0443<\/td>\n<\/tr>\n<tr>\n<td>\u0421\u0431\u0430\u043b\u0430\u043d\u0441\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u043e\u0435 (AVL, \u043a\u0440\u0430\u0441\u043d\u043e-\u0447\u0435\u0440\u043d\u043e\u0435)<\/td>\n<td>\u0432\u044b\u0441\u043e\u0442\u044b \u043f\u043e\u0434\u0434\u0435\u0440\u0435\u0432\u044c\u0435\u0432 \u0440\u0430\u0437\u043b\u0438\u0447\u0430\u044e\u0442\u0441\u044f \u043e\u0433\u0440\u0430\u043d\u0438\u0447\u0435\u043d\u043d\u043e<\/td>\n<td>\u0431\u044b\u0441\u0442\u0440\u044b\u0439 \u043f\u043e\u0438\u0441\u043a \u0432 \u0445\u0443\u0434\u0448\u0435\u043c \u0441\u043b\u0443\u0447\u0430\u0435, \u0438\u043d\u0434\u0435\u043a\u0441\u044b \u0432 \u043f\u0430\u043c\u044f\u0442\u0438<\/td>\n<\/tr>\n<tr>\n<td>\u041a\u0443\u0447\u0430 (heap)<\/td>\n<td>\u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0440\u043e\u0434\u0438\u0442\u0435\u043b\u044f \u043d\u0435 \u043c\u0435\u043d\u044c\u0448\u0435 (\u0438\u043b\u0438 \u043d\u0435 \u0431\u043e\u043b\u044c\u0448\u0435) \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439 \u043f\u043e\u0442\u043e\u043c\u043a\u043e\u0432<\/td>\n<td>\u043e\u0447\u0435\u0440\u0435\u0434\u044c \u0441 \u043f\u0440\u0438\u043e\u0440\u0438\u0442\u0435\u0442\u043e\u043c, \u043f\u0438\u0440\u0430\u043c\u0438\u0434\u0430\u043b\u044c\u043d\u0430\u044f \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0430<\/td>\n<\/tr>\n<tr>\n<td>B-\u0434\u0435\u0440\u0435\u0432\u043e<\/td>\n<td>\u043c\u043d\u043e\u0433\u043e \u043f\u043e\u0442\u043e\u043c\u043a\u043e\u0432 \u0443 \u0443\u0437\u043b\u0430, \u0441\u043f\u0435\u0446\u0438\u0430\u043b\u044c\u043d\u043e \u043f\u043e\u0434 \u0447\u0442\u0435\u043d\u0438\u0435 \u0441 \u0434\u0438\u0441\u043a\u0430<\/td>\n<td>\u0438\u043d\u0434\u0435\u043a\u0441\u044b \u0431\u0430\u0437 \u0434\u0430\u043d\u043d\u044b\u0445 \u0438 \u0444\u0430\u0439\u043b\u043e\u0432\u044b\u0445 \u0441\u0438\u0441\u0442\u0435\u043c<\/td>\n<\/tr>\n<tr>\n<td>\u041f\u0440\u0435\u0444\u0438\u043a\u0441\u043d\u043e\u0435 (trie)<\/td>\n<td>\u043f\u0443\u0442\u044c \u043e\u0442 \u043a\u043e\u0440\u043d\u044f \u0437\u0430\u0434\u0430\u0435\u0442 \u0441\u0442\u0440\u043e\u043a\u0443 \u043f\u043e \u0441\u0438\u043c\u0432\u043e\u043b\u0430\u043c<\/td>\n<td>\u0430\u0432\u0442\u043e\u0434\u043e\u043f\u043e\u043b\u043d\u0435\u043d\u0438\u0435, \u0441\u043b\u043e\u0432\u0430\u0440\u0438, \u043f\u043e\u0438\u0441\u043a \u043f\u043e \u043f\u0440\u0435\u0444\u0438\u043a\u0441\u0443<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u041e\u0442\u0434\u0435\u043b\u044c\u043d\u043e \u0441\u0442\u043e\u0438\u0442 \u0440\u0430\u0437\u0432\u0435\u0441\u0442\u0438 \u0434\u0432\u0430 \u0431\u043b\u0438\u0437\u043a\u0438\u0445 \u0441\u043b\u043e\u0432\u0430.<\/p>\n<p><strong>\u041f\u043e\u043b\u043d\u043e\u0435 (\u0437\u0430\u043f\u043e\u043b\u043d\u0435\u043d\u043d\u043e\u0435, complete) \u0434\u0435\u0440\u0435\u0432\u043e<\/strong> &#8212; \u0432\u0441\u0435 \u0443\u0440\u043e\u0432\u043d\u0438 \u0437\u0430\u043f\u043e\u043b\u043d\u0435\u043d\u044b \u0441\u0432\u0435\u0440\u0445\u0443 \u0432\u043d\u0438\u0437, \u0430 \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0438\u0439 \u0443\u0440\u043e\u0432\u0435\u043d\u044c \u0437\u0430\u043f\u043e\u043b\u043d\u0435\u043d \u0441\u043b\u0435\u0432\u0430 \u043d\u0430\u043f\u0440\u0430\u0432\u043e \u0431\u0435\u0437 \u043f\u0440\u043e\u043f\u0443\u0441\u043a\u043e\u0432; \u043d\u0430 \u044d\u0442\u043e\u043c \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0435 \u0434\u0435\u0440\u0436\u0438\u0442\u0441\u044f \u043a\u0443\u0447\u0430.<\/p>\n<p><strong>\u0421\u0431\u0430\u043b\u0430\u043d\u0441\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u043e\u0435 \u0434\u0435\u0440\u0435\u0432\u043e<\/strong> &#8212; \u0443 \u043b\u044e\u0431\u043e\u0433\u043e \u0443\u0437\u043b\u0430 \u0432\u044b\u0441\u043e\u0442\u044b \u043b\u0435\u0432\u043e\u0433\u043e \u0438 \u043f\u0440\u0430\u0432\u043e\u0433\u043e \u043f\u043e\u0434\u0434\u0435\u0440\u0435\u0432\u044c\u0435\u0432 \u0440\u0430\u0437\u043b\u0438\u0447\u0430\u044e\u0442\u0441\u044f \u043d\u0435 \u0431\u043e\u043b\u044c\u0448\u0435 \u0447\u0435\u043c \u043d\u0430 \u0437\u0430\u0434\u0430\u043d\u043d\u0443\u044e \u043a\u043e\u043d\u0441\u0442\u0430\u043d\u0442\u0443 (\u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u043d\u0430 1 \u0432 AVL). \u0411\u0430\u043b\u0430\u043d\u0441 &#8212; \u043f\u0440\u043e \u0440\u0430\u0437\u043d\u0438\u0446\u0443 \u0432\u044b\u0441\u043e\u0442, \u0430 \u043d\u0435 \u043f\u0440\u043e \u043f\u043e\u0440\u044f\u0434\u043e\u043a \u0437\u0430\u043f\u043e\u043b\u043d\u0435\u043d\u0438\u044f, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0441\u0431\u0430\u043b\u0430\u043d\u0441\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u043e\u0435 \u0434\u0435\u0440\u0435\u0432\u043e \u043d\u0435 \u043e\u0431\u044f\u0437\u0430\u043d\u043e \u0431\u044b\u0442\u044c \u043f\u043e\u043b\u043d\u044b\u043c, \u0438 \u043d\u0430\u043e\u0431\u043e\u0440\u043e\u0442.<\/p>\n<h2 id=\"s4\">\u0411\u0438\u043d\u0430\u0440\u043d\u043e\u0435 \u0434\u0435\u0440\u0435\u0432\u043e \u043f\u043e\u0438\u0441\u043a\u0430<\/h2>\n<p>\u0411\u0438\u043d\u0430\u0440\u043d\u043e\u0435 \u0434\u0435\u0440\u0435\u0432\u043e \u043f\u043e\u0438\u0441\u043a\u0430 (BST) &#8212; \u044d\u0442\u043e \u0431\u0438\u043d\u0430\u0440\u043d\u043e\u0435 \u0434\u0435\u0440\u0435\u0432\u043e, \u0432 \u043a\u043e\u0442\u043e\u0440\u043e\u043c \u0434\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0443\u0437\u043b\u0430 \u0432\u0441\u0435 \u043a\u043b\u044e\u0447\u0438 \u043b\u0435\u0432\u043e\u0433\u043e \u043f\u043e\u0434\u0434\u0435\u0440\u0435\u0432\u0430 \u043c\u0435\u043d\u044c\u0448\u0435 \u043a\u043b\u044e\u0447\u0430 \u0443\u0437\u043b\u0430, \u0430 \u0432\u0441\u0435 \u043a\u043b\u044e\u0447\u0438 \u043f\u0440\u0430\u0432\u043e\u0433\u043e &#8212; \u0431\u043e\u043b\u044c\u0448\u0435. \u042d\u0442\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u0438 \u0434\u0435\u043b\u0430\u0435\u0442 \u043f\u043e\u0438\u0441\u043a \u0431\u044b\u0441\u0442\u0440\u044b\u043c: \u043d\u0430 \u043a\u0430\u0436\u0434\u043e\u043c \u0448\u0430\u0433\u0435 \u043e\u0442\u0431\u0440\u0430\u0441\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u043f\u043e\u043b\u043e\u0432\u0438\u043d\u0430 \u043e\u0441\u0442\u0430\u0432\u0448\u0438\u0445\u0441\u044f \u0443\u0437\u043b\u043e\u0432.<\/p>\n<p>\u0421\u043e\u0431\u0435\u0440\u0435\u043c \u0434\u0435\u0440\u0435\u0432\u043e, \u0432\u0441\u0442\u0430\u0432\u043b\u044f\u044f \u043a\u043b\u044e\u0447\u0438 \u043f\u043e \u043e\u0434\u043d\u043e\u043c\u0443 \u0432 \u043f\u043e\u0440\u044f\u0434\u043a\u0435 8, 3, 10, 1, 6, 14, 4, 7, 13. \u041f\u0440\u043e\u0441\u043b\u0435\u0434\u0438\u043c \u043f\u0435\u0440\u0432\u044b\u0435 \u0432\u0441\u0442\u0430\u0432\u043a\u0438 \u0440\u0443\u043a\u0430\u043c\u0438:<\/p>\n<ul>\n<li>8 &#8212; \u0434\u0435\u0440\u0435\u0432\u043e \u043f\u0443\u0441\u0442\u043e\u0435, 8 \u0441\u0442\u0430\u043d\u043e\u0432\u0438\u0442\u0441\u044f \u043a\u043e\u0440\u043d\u0435\u043c.<\/li>\n<li>3 &#8212; \u043c\u0435\u043d\u044c\u0448\u0435 8, \u0443\u0445\u043e\u0434\u0438\u0442 \u0432\u043b\u0435\u0432\u043e \u043e\u0442 \u043a\u043e\u0440\u043d\u044f.<\/li>\n<li>10 &#8212; \u0431\u043e\u043b\u044c\u0448\u0435 8, \u0443\u0445\u043e\u0434\u0438\u0442 \u0432\u043f\u0440\u0430\u0432\u043e.<\/li>\n<li>1 &#8212; \u043c\u0435\u043d\u044c\u0448\u0435 8 (\u0432\u043b\u0435\u0432\u043e), \u043c\u0435\u043d\u044c\u0448\u0435 3 (\u0432\u043b\u0435\u0432\u043e \u043e\u0442 3).<\/li>\n<li>6 &#8212; \u043c\u0435\u043d\u044c\u0448\u0435 8 (\u0432\u043b\u0435\u0432\u043e), \u0431\u043e\u043b\u044c\u0448\u0435 3 (\u0432\u043f\u0440\u0430\u0432\u043e \u043e\u0442 3).<\/li>\n<\/ul>\n<p>\u041f\u0440\u043e\u0434\u043e\u043b\u0436\u0438\u0432 \u0442\u0430\u043a \u0436\u0435 \u0434\u043b\u044f 14, 4, 7 \u0438 13, \u043f\u043e\u043b\u0443\u0447\u0438\u043c \u0434\u0435\u0440\u0435\u0432\u043e:<\/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\">          8\n        \/   \\\n       3     10\n      \/ \\      \\\n     1   6      14\n        \/ \\     \/\n       4   7   13\n<\/code><\/pre>\n<p>\u0422\u0435\u043f\u0435\u0440\u044c \u0442\u043e\u0442 \u0436\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c \u0432 \u043a\u043e\u0434\u0435 &#8212; \u043f\u043e\u043b\u043d\u0430\u044f \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0430, \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u043c\u043e\u0436\u043d\u043e \u0441\u043a\u043e\u043f\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u0438 \u0437\u0430\u043f\u0443\u0441\u0442\u0438\u0442\u044c:<\/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\">class<\/span><span style=\"color: #ABB2BF\"> <\/span><span style=\"color: #E5C07B\">Node<\/span><span style=\"color: #ABB2BF\">:<\/span>\n    <span style=\"color: #C678DD\">def<\/span><span style=\"color: #ABB2BF\"> <\/span><span style=\"color: #56B6C2; font-weight: bold\">__init__<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E5C07B\">self<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">key<\/span><span style=\"color: #ABB2BF\">):<\/span>\n        <span style=\"color: #E5C07B\">self<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">key<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E06C75\">key<\/span>      <span style=\"color: #7F848E\"># \u043a\u043b\u044e\u0447 \u0443\u0437\u043b\u0430<\/span>\n        <span style=\"color: #E5C07B\">self<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">left<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E5C07B\">None<\/span>    <span style=\"color: #7F848E\"># \u043b\u0435\u0432\u043e\u0435 \u043f\u043e\u0434\u0434\u0435\u0440\u0435\u0432\u043e<\/span>\n        <span style=\"color: #E5C07B\">self<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">right<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E5C07B\">None<\/span>   <span style=\"color: #7F848E\"># \u043f\u0440\u0430\u0432\u043e\u0435 \u043f\u043e\u0434\u0434\u0435\u0440\u0435\u0432\u043e<\/span>\n\n<span style=\"color: #C678DD\">def<\/span><span style=\"color: #ABB2BF\"> <\/span><span style=\"color: #61AFEF; font-weight: bold\">insert<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">root<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">key<\/span><span style=\"color: #ABB2BF\">):<\/span>\n    <span style=\"color: #C678DD\">if<\/span> <span style=\"color: #E06C75\">root<\/span> <span style=\"color: #56B6C2\">is<\/span> <span style=\"color: #E5C07B\">None<\/span><span style=\"color: #ABB2BF\">:<\/span>            <span style=\"color: #7F848E\"># \u0434\u043e\u0448\u043b\u0438 \u0434\u043e \u043f\u0443\u0441\u0442\u043e\u0433\u043e \u043c\u0435\u0441\u0442\u0430 - \u0441\u043e\u0437\u0434\u0430\u0435\u043c \u0443\u0437\u0435\u043b<\/span>\n        <span style=\"color: #C678DD\">return<\/span> <span style=\"color: #E06C75\">Node<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">key<\/span><span style=\"color: #ABB2BF\">)<\/span>\n    <span style=\"color: #C678DD\">if<\/span> <span style=\"color: #E06C75\">key<\/span> <span style=\"color: #56B6C2\">&lt;<\/span> <span style=\"color: #E06C75\">root<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">key<\/span><span style=\"color: #ABB2BF\">:<\/span>\n        <span style=\"color: #E06C75\">root<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">left<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E06C75\">insert<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">root<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">left<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">key<\/span><span style=\"color: #ABB2BF\">)<\/span>   <span style=\"color: #7F848E\"># \u043c\u0435\u043d\u044c\u0448\u0435 - \u0438\u0434\u0435\u043c \u0432\u043b\u0435\u0432\u043e<\/span>\n    <span style=\"color: #C678DD\">elif<\/span> <span style=\"color: #E06C75\">key<\/span> <span style=\"color: #56B6C2\">&gt;<\/span> <span style=\"color: #E06C75\">root<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">key<\/span><span style=\"color: #ABB2BF\">:<\/span>\n        <span style=\"color: #E06C75\">root<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">right<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E06C75\">insert<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">root<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">right<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">key<\/span><span style=\"color: #ABB2BF\">)<\/span> <span style=\"color: #7F848E\"># \u0431\u043e\u043b\u044c\u0448\u0435 - \u0438\u0434\u0435\u043c \u0432\u043f\u0440\u0430\u0432\u043e<\/span>\n    <span style=\"color: #C678DD\">return<\/span> <span style=\"color: #E06C75\">root<\/span>                 <span style=\"color: #7F848E\"># \u0440\u0430\u0432\u043d\u044b\u0435 \u043a\u043b\u044e\u0447\u0438 \u043d\u0435 \u0432\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u043e<\/span>\n\n<span style=\"color: #C678DD\">def<\/span><span style=\"color: #ABB2BF\"> <\/span><span style=\"color: #61AFEF; font-weight: bold\">search<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">root<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">key<\/span><span style=\"color: #ABB2BF\">):<\/span>\n    <span style=\"color: #C678DD\">if<\/span> <span style=\"color: #E06C75\">root<\/span> <span style=\"color: #56B6C2\">is<\/span> <span style=\"color: #E5C07B\">None<\/span> <span style=\"color: #56B6C2\">or<\/span> <span style=\"color: #E06C75\">root<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">key<\/span> <span style=\"color: #56B6C2\">==<\/span> <span style=\"color: #E06C75\">key<\/span><span style=\"color: #ABB2BF\">:<\/span>\n        <span style=\"color: #C678DD\">return<\/span> <span style=\"color: #E06C75\">root<\/span>\n    <span style=\"color: #C678DD\">if<\/span> <span style=\"color: #E06C75\">key<\/span> <span style=\"color: #56B6C2\">&lt;<\/span> <span style=\"color: #E06C75\">root<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">key<\/span><span style=\"color: #ABB2BF\">:<\/span>\n        <span style=\"color: #C678DD\">return<\/span> <span style=\"color: #E06C75\">search<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">root<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">left<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">key<\/span><span style=\"color: #ABB2BF\">)<\/span>\n    <span style=\"color: #C678DD\">return<\/span> <span style=\"color: #E06C75\">search<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">root<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">right<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">key<\/span><span style=\"color: #ABB2BF\">)<\/span>\n\n<span style=\"color: #C678DD\">def<\/span><span style=\"color: #ABB2BF\"> <\/span><span style=\"color: #61AFEF; font-weight: bold\">height<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">node<\/span><span style=\"color: #ABB2BF\">):<\/span>\n    <span style=\"color: #C678DD\">if<\/span> <span style=\"color: #E06C75\">node<\/span> <span style=\"color: #56B6C2\">is<\/span> <span style=\"color: #E5C07B\">None<\/span><span style=\"color: #ABB2BF\">:<\/span>\n        <span style=\"color: #C678DD\">return<\/span> <span style=\"color: #D19A66\">0<\/span>\n    <span style=\"color: #C678DD\">return<\/span> <span style=\"color: #D19A66\">1<\/span> <span style=\"color: #56B6C2\">+<\/span> <span style=\"color: #E5C07B\">max<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">height<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">node<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">left<\/span><span style=\"color: #ABB2BF\">),<\/span> <span style=\"color: #E06C75\">height<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">node<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">right<\/span><span style=\"color: #ABB2BF\">))<\/span>\n\n<span style=\"color: #E06C75\">root<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E5C07B\">None<\/span>\n<span style=\"color: #C678DD\">for<\/span> <span style=\"color: #E06C75\">k<\/span> <span style=\"color: #56B6C2\">in<\/span> <span style=\"color: #ABB2BF\">[<\/span><span style=\"color: #D19A66\">8<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">3<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">10<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">1<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">6<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">14<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">4<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">7<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">13<\/span><span style=\"color: #ABB2BF\">]:<\/span>\n    <span style=\"color: #E06C75\">root<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E06C75\">insert<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">root<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">k<\/span><span style=\"color: #ABB2BF\">)<\/span>\n\n<span style=\"color: #E5C07B\">print<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #98C379\">\"\u0432\u044b\u0441\u043e\u0442\u0430 (\u0447\u0438\u0441\u043b\u043e \u0443\u0440\u043e\u0432\u043d\u0435\u0439):\"<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">height<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">root<\/span><span style=\"color: #ABB2BF\">))<\/span>\n<span style=\"color: #E5C07B\">print<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #98C379\">\"\u0435\u0441\u0442\u044c \u043b\u0438 7:\"<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">search<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">root<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">7<\/span><span style=\"color: #ABB2BF\">)<\/span> <span style=\"color: #56B6C2\">is<\/span> <span style=\"color: #56B6C2\">not<\/span> <span style=\"color: #E5C07B\">None<\/span><span style=\"color: #ABB2BF\">)<\/span>\n<span style=\"color: #E5C07B\">print<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #98C379\">\"\u0435\u0441\u0442\u044c \u043b\u0438 5:\"<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">search<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">root<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">5<\/span><span style=\"color: #ABB2BF\">)<\/span> <span style=\"color: #56B6C2\">is<\/span> <span style=\"color: #56B6C2\">not<\/span> <span style=\"color: #E5C07B\">None<\/span><span style=\"color: #ABB2BF\">)<\/span><\/code><\/pre>\n<p>\u0412\u044b\u0432\u043e\u0434 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u044b:<\/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\">\u0432\u044b\u0441\u043e\u0442\u0430 (\u0447\u0438\u0441\u043b\u043e \u0443\u0440\u043e\u0432\u043d\u0435\u0439): 4\n\u0435\u0441\u0442\u044c \u043b\u0438 7: True\n\u0435\u0441\u0442\u044c \u043b\u0438 5: False\n<\/code><\/pre>\n<p>\u0424\u0443\u043d\u043a\u0446\u0438\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\">search<\/code> \u0441\u043f\u0443\u0441\u043a\u0430\u0435\u0442\u0441\u044f \u043e\u0442 \u043a\u043e\u0440\u043d\u044f \u0438 \u043d\u0430 \u043a\u0430\u0436\u0434\u043e\u043c \u0443\u0437\u043b\u0435 \u0432\u044b\u0431\u0438\u0440\u0430\u0435\u0442 \u043e\u0434\u043d\u0443 \u0432\u0435\u0442\u0432\u044c: \u043a\u043b\u044e\u0447 \u043c\u0435\u043d\u044c\u0448\u0435 &#8212; \u0432\u043b\u0435\u0432\u043e, \u0431\u043e\u043b\u044c\u0448\u0435 &#8212; \u0432\u043f\u0440\u0430\u0432\u043e. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u0447\u0438\u0441\u043b\u043e \u0441\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0440\u0430\u0432\u043d\u043e \u0432\u044b\u0441\u043e\u0442\u0435 \u0434\u0435\u0440\u0435\u0432\u0430, \u0430 \u043d\u0435 \u0447\u0438\u0441\u043b\u0443 \u0443\u0437\u043b\u043e\u0432.<\/p>\n<p>\u0412\u0430\u0436\u043d\u0430 \u0433\u0440\u0430\u043d\u0438\u0446\u0430 \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u043c\u043e\u0441\u0442\u0438: \u0432\u044b\u0438\u0433\u0440\u044b\u0448 \u0435\u0441\u0442\u044c, \u0442\u043e\u043b\u044c\u043a\u043e \u043f\u043e\u043a\u0430 \u0434\u0435\u0440\u0435\u0432\u043e \u043d\u0435 \u0432\u044b\u0440\u043e\u0434\u0438\u043b\u043e\u0441\u044c. \u0415\u0441\u043b\u0438 \u0432\u0441\u0442\u0430\u0432\u043b\u044f\u0442\u044c \u0443\u0436\u0435 \u043e\u0442\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u044b\u0435 \u043a\u043b\u044e\u0447\u0438 (1, 2, 3, 4&#8230;), \u043a\u0430\u0436\u0434\u044b\u0439 \u043d\u043e\u0432\u044b\u0439 \u0443\u0437\u0435\u043b \u0443\u0439\u0434\u0435\u0442 \u0432\u043f\u0440\u0430\u0432\u043e, \u0434\u0435\u0440\u0435\u0432\u043e \u043f\u0440\u0435\u0432\u0440\u0430\u0442\u0438\u0442\u0441\u044f \u0432 \u0441\u043f\u0438\u0441\u043e\u043a, \u0430 \u043f\u043e\u0438\u0441\u043a \u0441\u0442\u0430\u043d\u0435\u0442 \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u043c. \u0427\u0442\u043e\u0431\u044b \u0434\u0435\u0440\u0436\u0430\u0442\u044c \u0432\u044b\u0441\u043e\u0442\u0443 \u043c\u0430\u043b\u043e\u0439 \u043f\u0440\u0438 \u043b\u044e\u0431\u043e\u043c \u043f\u043e\u0440\u044f\u0434\u043a\u0435 \u0432\u0441\u0442\u0430\u0432\u043e\u043a, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044e\u0442 \u0441\u0430\u043c\u043e\u0431\u0430\u043b\u0430\u043d\u0441\u0438\u0440\u0443\u044e\u0449\u0438\u0435\u0441\u044f \u0434\u0435\u0440\u0435\u0432\u044c\u044f (AVL, \u043a\u0440\u0430\u0441\u043d\u043e-\u0447\u0435\u0440\u043d\u044b\u0435).<\/p>\n<h2 id=\"s5\">\u041e\u0431\u0445\u043e\u0434\u044b \u0434\u0435\u0440\u0435\u0432\u0430<\/h2>\n<p>\u041e\u0431\u0445\u043e\u0434 &#8212; \u044d\u0442\u043e \u043f\u043e\u0441\u0435\u0449\u0435\u043d\u0438\u0435 \u0432\u0441\u0435\u0445 \u0443\u0437\u043b\u043e\u0432 \u0434\u0435\u0440\u0435\u0432\u0430 \u0432 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u043e\u043c \u043f\u043e\u0440\u044f\u0434\u043a\u0435, \u043a\u0430\u0436\u0434\u044b\u0439 \u0440\u043e\u0432\u043d\u043e \u043e\u0434\u0438\u043d \u0440\u0430\u0437. \u0414\u043b\u044f \u0431\u0438\u043d\u0430\u0440\u043d\u044b\u0445 \u0434\u0435\u0440\u0435\u0432\u044c\u0435\u0432 \u0447\u0430\u0449\u0435 \u0432\u0441\u0435\u0433\u043e \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u044e\u0442 \u0442\u0440\u0438 \u043e\u0431\u0445\u043e\u0434\u0430 \u0432 \u0433\u043b\u0443\u0431\u0438\u043d\u0443, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0440\u0430\u0437\u043b\u0438\u0447\u0430\u044e\u0442\u0441\u044f \u043c\u043e\u043c\u0435\u043d\u0442\u043e\u043c \u043e\u0431\u0440\u0430\u0431\u043e\u0442\u043a\u0438 \u0443\u0437\u043b\u0430 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u0435\u0433\u043e \u043f\u043e\u0434\u0434\u0435\u0440\u0435\u0432\u044c\u0435\u0432:<\/p>\n<ul>\n<li><strong>\u041f\u0440\u044f\u043c\u043e\u0439<\/strong> (\u043f\u0440\u0435\u0444\u0438\u043a\u0441\u043d\u044b\u0439, pre-order): \u0443\u0437\u0435\u043b -&gt; \u043b\u0435\u0432\u043e\u0435 \u043f\u043e\u0434\u0434\u0435\u0440\u0435\u0432\u043e -&gt; \u043f\u0440\u0430\u0432\u043e\u0435.<\/li>\n<li><strong>\u0421\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u044b\u0439<\/strong> (\u0438\u043d\u0444\u0438\u043a\u0441\u043d\u044b\u0439, in-order): \u043b\u0435\u0432\u043e\u0435 \u043f\u043e\u0434\u0434\u0435\u0440\u0435\u0432\u043e -&gt; \u0443\u0437\u0435\u043b -&gt; \u043f\u0440\u0430\u0432\u043e\u0435.<\/li>\n<li><strong>\u041e\u0431\u0440\u0430\u0442\u043d\u044b\u0439<\/strong> (\u043f\u043e\u0441\u0442\u0444\u0438\u043a\u0441\u043d\u044b\u0439, post-order): \u043b\u0435\u0432\u043e\u0435 \u043f\u043e\u0434\u0434\u0435\u0440\u0435\u0432\u043e -&gt; \u043f\u0440\u0430\u0432\u043e\u0435 -&gt; \u0443\u0437\u0435\u043b.<\/li>\n<\/ul>\n<p>\u0421\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u044b\u0439 \u043e\u0431\u0445\u043e\u0434 \u0443 \u0434\u0435\u0440\u0435\u0432\u0430 \u043f\u043e\u0438\u0441\u043a\u0430 \u043e\u0441\u043e\u0431\u0435\u043d\u043d\u043e \u043f\u043e\u043b\u0435\u0437\u0435\u043d: \u043e\u043d \u0432\u044b\u0434\u0430\u0435\u0442 \u043a\u043b\u044e\u0447\u0438 \u043f\u043e \u0432\u043e\u0437\u0440\u0430\u0441\u0442\u0430\u043d\u0438\u044e. \u041f\u0440\u043e\u0433\u043e\u043d\u0438\u043c \u0432\u0441\u0435 \u0442\u0440\u0438 \u043d\u0430 \u0442\u043e\u043c \u0436\u0435 \u0434\u0435\u0440\u0435\u0432\u0435:<\/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\">class<\/span><span style=\"color: #ABB2BF\"> <\/span><span style=\"color: #E5C07B\">Node<\/span><span style=\"color: #ABB2BF\">:<\/span>\n    <span style=\"color: #C678DD\">def<\/span><span style=\"color: #ABB2BF\"> <\/span><span style=\"color: #56B6C2; font-weight: bold\">__init__<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E5C07B\">self<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">key<\/span><span style=\"color: #ABB2BF\">):<\/span>\n        <span style=\"color: #E5C07B\">self<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">key<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E06C75\">key<\/span>\n        <span style=\"color: #E5C07B\">self<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">left<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E5C07B\">None<\/span>\n        <span style=\"color: #E5C07B\">self<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">right<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E5C07B\">None<\/span>\n\n<span style=\"color: #C678DD\">def<\/span><span style=\"color: #ABB2BF\"> <\/span><span style=\"color: #61AFEF; font-weight: bold\">insert<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">root<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">key<\/span><span style=\"color: #ABB2BF\">):<\/span>\n    <span style=\"color: #C678DD\">if<\/span> <span style=\"color: #E06C75\">root<\/span> <span style=\"color: #56B6C2\">is<\/span> <span style=\"color: #E5C07B\">None<\/span><span style=\"color: #ABB2BF\">:<\/span>\n        <span style=\"color: #C678DD\">return<\/span> <span style=\"color: #E06C75\">Node<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">key<\/span><span style=\"color: #ABB2BF\">)<\/span>\n    <span style=\"color: #C678DD\">if<\/span> <span style=\"color: #E06C75\">key<\/span> <span style=\"color: #56B6C2\">&lt;<\/span> <span style=\"color: #E06C75\">root<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">key<\/span><span style=\"color: #ABB2BF\">:<\/span>\n        <span style=\"color: #E06C75\">root<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">left<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E06C75\">insert<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">root<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">left<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">key<\/span><span style=\"color: #ABB2BF\">)<\/span>\n    <span style=\"color: #C678DD\">elif<\/span> <span style=\"color: #E06C75\">key<\/span> <span style=\"color: #56B6C2\">&gt;<\/span> <span style=\"color: #E06C75\">root<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">key<\/span><span style=\"color: #ABB2BF\">:<\/span>\n        <span style=\"color: #E06C75\">root<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">right<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E06C75\">insert<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">root<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">right<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">key<\/span><span style=\"color: #ABB2BF\">)<\/span>\n    <span style=\"color: #C678DD\">return<\/span> <span style=\"color: #E06C75\">root<\/span>\n\n<span style=\"color: #C678DD\">def<\/span><span style=\"color: #ABB2BF\"> <\/span><span style=\"color: #61AFEF; font-weight: bold\">preorder<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">node<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">acc<\/span><span style=\"color: #ABB2BF\">):<\/span>    <span style=\"color: #7F848E\"># \u043a\u043e\u0440\u0435\u043d\u044c -&gt; \u043b\u0435\u0432\u043e\u0435 -&gt; \u043f\u0440\u0430\u0432\u043e\u0435<\/span>\n    <span style=\"color: #C678DD\">if<\/span> <span style=\"color: #E06C75\">node<\/span> <span style=\"color: #56B6C2\">is<\/span> <span style=\"color: #E5C07B\">None<\/span><span style=\"color: #ABB2BF\">:<\/span>\n        <span style=\"color: #C678DD\">return<\/span>\n    <span style=\"color: #E06C75\">acc<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">append<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">node<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">key<\/span><span style=\"color: #ABB2BF\">)<\/span>\n    <span style=\"color: #E06C75\">preorder<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">node<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">left<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">acc<\/span><span style=\"color: #ABB2BF\">)<\/span>\n    <span style=\"color: #E06C75\">preorder<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">node<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">right<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">acc<\/span><span style=\"color: #ABB2BF\">)<\/span>\n\n<span style=\"color: #C678DD\">def<\/span><span style=\"color: #ABB2BF\"> <\/span><span style=\"color: #61AFEF; font-weight: bold\">inorder<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">node<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">acc<\/span><span style=\"color: #ABB2BF\">):<\/span>     <span style=\"color: #7F848E\"># \u043b\u0435\u0432\u043e\u0435 -&gt; \u043a\u043e\u0440\u0435\u043d\u044c -&gt; \u043f\u0440\u0430\u0432\u043e\u0435<\/span>\n    <span style=\"color: #C678DD\">if<\/span> <span style=\"color: #E06C75\">node<\/span> <span style=\"color: #56B6C2\">is<\/span> <span style=\"color: #E5C07B\">None<\/span><span style=\"color: #ABB2BF\">:<\/span>\n        <span style=\"color: #C678DD\">return<\/span>\n    <span style=\"color: #E06C75\">inorder<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">node<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">left<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">acc<\/span><span style=\"color: #ABB2BF\">)<\/span>\n    <span style=\"color: #E06C75\">acc<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">append<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">node<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">key<\/span><span style=\"color: #ABB2BF\">)<\/span>\n    <span style=\"color: #E06C75\">inorder<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">node<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">right<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">acc<\/span><span style=\"color: #ABB2BF\">)<\/span>\n\n<span style=\"color: #C678DD\">def<\/span><span style=\"color: #ABB2BF\"> <\/span><span style=\"color: #61AFEF; font-weight: bold\">postorder<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">node<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">acc<\/span><span style=\"color: #ABB2BF\">):<\/span>   <span style=\"color: #7F848E\"># \u043b\u0435\u0432\u043e\u0435 -&gt; \u043f\u0440\u0430\u0432\u043e\u0435 -&gt; \u043a\u043e\u0440\u0435\u043d\u044c<\/span>\n    <span style=\"color: #C678DD\">if<\/span> <span style=\"color: #E06C75\">node<\/span> <span style=\"color: #56B6C2\">is<\/span> <span style=\"color: #E5C07B\">None<\/span><span style=\"color: #ABB2BF\">:<\/span>\n        <span style=\"color: #C678DD\">return<\/span>\n    <span style=\"color: #E06C75\">postorder<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">node<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">left<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">acc<\/span><span style=\"color: #ABB2BF\">)<\/span>\n    <span style=\"color: #E06C75\">postorder<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">node<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">right<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">acc<\/span><span style=\"color: #ABB2BF\">)<\/span>\n    <span style=\"color: #E06C75\">acc<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">append<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">node<\/span><span style=\"color: #56B6C2\">.<\/span><span style=\"color: #E06C75\">key<\/span><span style=\"color: #ABB2BF\">)<\/span>\n\n<span style=\"color: #E06C75\">root<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E5C07B\">None<\/span>\n<span style=\"color: #C678DD\">for<\/span> <span style=\"color: #E06C75\">k<\/span> <span style=\"color: #56B6C2\">in<\/span> <span style=\"color: #ABB2BF\">[<\/span><span style=\"color: #D19A66\">8<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">3<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">10<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">1<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">6<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">14<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">4<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">7<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #D19A66\">13<\/span><span style=\"color: #ABB2BF\">]:<\/span>\n    <span style=\"color: #E06C75\">root<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #E06C75\">insert<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">root<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">k<\/span><span style=\"color: #ABB2BF\">)<\/span>\n\n<span style=\"color: #E06C75\">pre<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">ino<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">post<\/span> <span style=\"color: #56B6C2\">=<\/span> <span style=\"color: #ABB2BF\">[],<\/span> <span style=\"color: #ABB2BF\">[],<\/span> <span style=\"color: #ABB2BF\">[]<\/span>\n<span style=\"color: #E06C75\">preorder<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">root<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">pre<\/span><span style=\"color: #ABB2BF\">)<\/span>\n<span style=\"color: #E06C75\">inorder<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">root<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">ino<\/span><span style=\"color: #ABB2BF\">)<\/span>\n<span style=\"color: #E06C75\">postorder<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #E06C75\">root<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">post<\/span><span style=\"color: #ABB2BF\">)<\/span>\n<span style=\"color: #E5C07B\">print<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #98C379\">\"pre-order (\u043f\u0440\u044f\u043c\u043e\u0439): \"<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">pre<\/span><span style=\"color: #ABB2BF\">)<\/span>\n<span style=\"color: #E5C07B\">print<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #98C379\">\"in-order (\u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u044b\u0439):\"<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">ino<\/span><span style=\"color: #ABB2BF\">)<\/span>\n<span style=\"color: #E5C07B\">print<\/span><span style=\"color: #ABB2BF\">(<\/span><span style=\"color: #98C379\">\"post-order (\u043e\u0431\u0440\u0430\u0442\u043d\u044b\u0439):  \"<\/span><span style=\"color: #ABB2BF\">,<\/span> <span style=\"color: #E06C75\">post<\/span><span style=\"color: #ABB2BF\">)<\/span><\/code><\/pre>\n<p>\u0412\u044b\u0432\u043e\u0434 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u044b:<\/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\">pre-order (\u043f\u0440\u044f\u043c\u043e\u0439):  [8, 3, 1, 6, 4, 7, 10, 14, 13]\nin-order (\u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u044b\u0439): [1, 3, 4, 6, 7, 8, 10, 13, 14]\npost-order (\u043e\u0431\u0440\u0430\u0442\u043d\u044b\u0439):   [1, 4, 7, 6, 3, 13, 14, 10, 8]\n<\/code><\/pre>\n<p>\u041a\u0430\u043a \u0432\u044b\u0431\u0440\u0430\u0442\u044c \u043e\u0431\u0445\u043e\u0434 \u043f\u043e\u0434 \u0437\u0430\u0434\u0430\u0447\u0443: \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u044b\u0439 &#8212; \u043a\u043e\u0433\u0434\u0430 \u043d\u0443\u0436\u0435\u043d \u043f\u043e\u0440\u044f\u0434\u043e\u043a \u043f\u043e \u043a\u043b\u044e\u0447\u0443; \u043f\u0440\u044f\u043c\u043e\u0439 &#8212; \u043a\u043e\u0433\u0434\u0430 \u0443\u0437\u0435\u043b \u043e\u0431\u0440\u0430\u0431\u0430\u0442\u044b\u0432\u0430\u044e\u0442 \u0434\u043e \u043f\u043e\u0442\u043e\u043c\u043a\u043e\u0432 (\u043a\u043e\u043f\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435, \u0441\u0435\u0440\u0438\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f \u0434\u0435\u0440\u0435\u0432\u0430); \u043e\u0431\u0440\u0430\u0442\u043d\u044b\u0439 &#8212; \u043a\u043e\u0433\u0434\u0430 \u043f\u043e\u0441\u043b\u0435 \u043f\u043e\u0442\u043e\u043c\u043a\u043e\u0432 (\u043f\u043e\u0434\u0441\u0447\u0435\u0442 \u0440\u0430\u0437\u043c\u0435\u0440\u043e\u0432 \u043f\u043e\u0434\u0434\u0435\u0440\u0435\u0432\u044c\u0435\u0432, \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f). \u0415\u0441\u0442\u044c \u0438 \u043e\u0431\u0445\u043e\u0434 \u0432 \u0448\u0438\u0440\u0438\u043d\u0443, \u043f\u043e \u0443\u0440\u043e\u0432\u043d\u044f\u043c, \u043d\u043e \u043e\u043d \u0440\u0435\u0430\u043b\u0438\u0437\u0443\u0435\u0442\u0441\u044f \u0447\u0435\u0440\u0435\u0437 \u043e\u0447\u0435\u0440\u0435\u0434\u044c, \u0430 \u043d\u0435 \u0440\u0435\u043a\u0443\u0440\u0441\u0438\u0435\u0439.<\/p>\n<h2 id=\"s6\">\u0412\u044b\u0432\u043e\u0434\u044b<\/h2>\n<ul>\n<li>\u0414\u0435\u0440\u0435\u0432\u043e &#8212; \u0438\u0435\u0440\u0430\u0440\u0445\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u0430 \u0434\u0430\u043d\u043d\u044b\u0445 \u0438 \u0447\u0430\u0441\u0442\u043d\u044b\u0439 \u0441\u043b\u0443\u0447\u0430\u0439 \u0433\u0440\u0430\u0444\u0430: \u0441\u0432\u044f\u0437\u043d\u044b\u0439 \u0433\u0440\u0430\u0444 \u0431\u0435\u0437 \u0446\u0438\u043a\u043b\u043e\u0432, \u0433\u0434\u0435 \u043a \u043a\u0430\u0436\u0434\u043e\u043c\u0443 \u0443\u0437\u043b\u0443 \u0432\u0435\u0434\u0435\u0442 \u043e\u0434\u0438\u043d \u043f\u0443\u0442\u044c.<\/li>\n<li>\u0411\u0430\u0437\u043e\u0432\u044b\u0439 \u0441\u043b\u043e\u0432\u0430\u0440\u044c: \u0443\u0437\u0435\u043b, \u043a\u043e\u0440\u0435\u043d\u044c, \u043b\u0438\u0441\u0442, \u0440\u0435\u0431\u0440\u043e, \u0440\u043e\u0434\u0438\u0442\u0435\u043b\u044c \u0438 \u043f\u043e\u0442\u043e\u043c\u043e\u043a, \u043f\u043e\u0434\u0434\u0435\u0440\u0435\u0432\u043e, \u0441\u0442\u0435\u043f\u0435\u043d\u044c; \u043e\u0442\u0434\u0435\u043b\u044c\u043d\u043e &#8212; \u0433\u043b\u0443\u0431\u0438\u043d\u0430 (\u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043e\u0442 \u043a\u043e\u0440\u043d\u044f) \u0438 \u0432\u044b\u0441\u043e\u0442\u0430 (\u043f\u0443\u0442\u044c \u0434\u043e \u0441\u0430\u043c\u043e\u0433\u043e \u0434\u0430\u043b\u044c\u043d\u0435\u0433\u043e \u043b\u0438\u0441\u0442\u0430), \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043b\u0435\u0433\u043a\u043e \u043f\u0435\u0440\u0435\u043f\u0443\u0442\u0430\u0442\u044c.<\/li>\n<li>\u0411\u0438\u043d\u0430\u0440\u043d\u043e\u0435 \u0434\u0435\u0440\u0435\u0432\u043e \u043f\u043e\u0438\u0441\u043a\u0430 \u0443\u0441\u043a\u043e\u0440\u044f\u0435\u0442 \u043f\u043e\u0438\u0441\u043a \u0434\u043e \u0432\u044b\u0441\u043e\u0442\u044b \u0434\u0435\u0440\u0435\u0432\u0430, \u043d\u043e \u0432\u044b\u0438\u0433\u0440\u044b\u0448 \u043f\u0440\u043e\u043f\u0430\u0434\u0430\u0435\u0442, \u0435\u0441\u043b\u0438 \u0434\u0435\u0440\u0435\u0432\u043e \u0432\u044b\u0440\u043e\u0434\u0438\u043b\u043e\u0441\u044c \u0432 \u0441\u043f\u0438\u0441\u043e\u043a; \u0441\u043f\u0430\u0441\u0430\u044e\u0442 \u0441\u0430\u043c\u043e\u0431\u0430\u043b\u0430\u043d\u0441\u0438\u0440\u0443\u044e\u0449\u0438\u0435\u0441\u044f \u0434\u0435\u0440\u0435\u0432\u044c\u044f.<\/li>\n<li>\u0422\u0440\u0438 \u043e\u0431\u0445\u043e\u0434\u0430 \u0432 \u0433\u043b\u0443\u0431\u0438\u043d\u0443 \u0440\u0430\u0437\u043b\u0438\u0447\u0430\u044e\u0442\u0441\u044f \u043c\u043e\u043c\u0435\u043d\u0442\u043e\u043c \u043e\u0431\u0440\u0430\u0431\u043e\u0442\u043a\u0438 \u0443\u0437\u043b\u0430; \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u044b\u0439 \u043e\u0431\u0445\u043e\u0434 BST \u0432\u044b\u0434\u0430\u0435\u0442 \u043a\u043b\u044e\u0447\u0438 \u043f\u043e \u0432\u043e\u0437\u0440\u0430\u0441\u0442\u0430\u043d\u0438\u044e.<\/li>\n<\/ul>\n<h2 id=\"s7\">\u0413\u0434\u0435 \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f \u0438 \u0447\u0442\u043e \u0443\u0447\u0438\u0442\u044c \u0434\u0430\u043b\u044c\u0448\u0435<\/h2>\n<p>\u0414\u0435\u0440\u0435\u0432\u044c\u044f \u043b\u0435\u0436\u0430\u0442 \u0432 \u043e\u0441\u043d\u043e\u0432\u0435 \u043c\u043d\u043e\u0433\u0438\u0445 \u0438\u043d\u0441\u0442\u0440\u0443\u043c\u0435\u043d\u0442\u043e\u0432: \u0438\u043d\u0434\u0435\u043a\u0441\u044b \u0431\u0430\u0437 \u0434\u0430\u043d\u043d\u044b\u0445 \u0438 \u0444\u0430\u0439\u043b\u043e\u0432\u044b\u0445 \u0441\u0438\u0441\u0442\u0435\u043c \u0441\u0442\u0440\u043e\u044f\u0442\u0441\u044f \u043d\u0430 B-\u0434\u0435\u0440\u0435\u0432\u044c\u044f\u0445, \u043f\u0440\u0438\u043e\u0440\u0438\u0442\u0435\u0442\u043d\u044b\u0435 \u043e\u0447\u0435\u0440\u0435\u0434\u0438 &#8212; \u043d\u0430 \u043a\u0443\u0447\u0435, \u043a\u043e\u0434\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u043f\u043e \u043c\u0435\u0442\u043e\u0434\u0443 \u0425\u0430\u0444\u0444\u043c\u0430\u043d\u0430 &#8212; \u043d\u0430 \u0431\u0438\u043d\u0430\u0440\u043d\u043e\u043c \u0434\u0435\u0440\u0435\u0432\u0435, \u0430 \u0430\u0432\u0442\u043e\u0434\u043e\u043f\u043e\u043b\u043d\u0435\u043d\u0438\u0435 &#8212; \u043d\u0430 \u043f\u0440\u0435\u0444\u0438\u043a\u0441\u043d\u044b\u0445 \u0434\u0435\u0440\u0435\u0432\u044c\u044f\u0445. \u041f\u043e\u043d\u0438\u043c\u0430\u043d\u0438\u0435 \u043e\u0431\u0445\u043e\u0434\u043e\u0432 \u0438 \u0431\u0430\u043b\u0430\u043d\u0441\u0438\u0440\u043e\u0432\u043a\u0438 \u043d\u0443\u0436\u043d\u043e \u043f\u043e\u0447\u0442\u0438 \u0432 \u043b\u044e\u0431\u043e\u0439 \u0437\u0430\u0434\u0430\u0447\u0435 \u0441 \u0438\u0435\u0440\u0430\u0440\u0445\u0438\u0447\u0435\u0441\u043a\u0438\u043c\u0438 \u0434\u0430\u043d\u043d\u044b\u043c\u0438.<\/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>\u0415\u0441\u043b\u0438 \u0445\u043e\u0447\u0435\u0442\u0441\u044f \u0440\u0430\u0437\u043e\u0431\u0440\u0430\u0442\u044c \u0434\u0435\u0440\u0435\u0432\u044c\u044f, \u0433\u0440\u0430\u0444\u044b \u0438 \u0431\u0430\u043b\u0430\u043d\u0441\u0438\u0440\u043e\u0432\u043a\u0443 \u0441\u0438\u0441\u0442\u0435\u043c\u043d\u043e, \u0441 \u0440\u0430\u0437\u0431\u043e\u0440\u043e\u043c \u0441\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u0438 \u0438 \u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u0435\u0439 \u043d\u0430 \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u0435, \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u0442\u0435 \u043a\u0443\u0440\u0441 <a href=\"https:\/\/otus.ru\/lessons\/algorithm\/?int_article=derevo-kak-struktura-dannyh&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>. \u041f\u0440\u043e\u0432\u0435\u0440\u0438\u0442\u044c \u0444\u043e\u0440\u043c\u0430\u0442 \u0438 \u0443\u0440\u043e\u0432\u0435\u043d\u044c \u0434\u043e \u0441\u0442\u0430\u0440\u0442\u0430 \u043f\u043e\u043c\u043e\u0433\u0430\u044e\u0442 \u0431\u0435\u0441\u043f\u043b\u0430\u0442\u043d\u044b\u0435 <a href=\"https:\/\/otus.ru\/events\/?int_article=derevo-kak-struktura-dannyh&amp;int_place=article&amp;int_variant=v1\">\u043e\u0442\u043a\u0440\u044b\u0442\u044b\u0435 \u0443\u0440\u043e\u043a\u0438 Otus<\/a> &#8212; \u0436\u0438\u0432\u044b\u0435 \u0437\u0430\u043d\u044f\u0442\u0438\u044f \u0441 \u043f\u0440\u0435\u043f\u043e\u0434\u0430\u0432\u0430\u0442\u0435\u043b\u044f\u043c\u0438.<\/p>\n<\/div>\n<p>\u0421\u043c\u0435\u0436\u043d\u044b\u0435 \u0442\u0435\u043c\u044b: <a href=\"https:\/\/otus.ru\/journal\/massivy-v-programmirovanii-opisanie-i-napolnenie-dannymi\/\">\u041c\u0430\u0441\u0441\u0438\u0432\u044b \u0432 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0438<\/a>, <a href=\"https:\/\/otus.ru\/journal\/vidy-i-harakteristiki-algoritmov\/\">\u0412\u0438\u0434\u044b \u0438 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0438 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u043e\u0432<\/a>, <a href=\"https:\/\/otus.ru\/journal\/ierarhicheskie-bd-opisanie-i-kljuchevye-harakteristiki\/\">\u0418\u0435\u0440\u0430\u0440\u0445\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0431\u0430\u0437\u044b \u0434\u0430\u043d\u043d\u044b\u0445<\/a>.<\/p>\n<h2 id=\"s8\">FAQ<\/h2>\n<p><strong>\u0427\u0435\u043c \u0434\u0435\u0440\u0435\u0432\u043e \u043e\u0442\u043b\u0438\u0447\u0430\u0435\u0442\u0441\u044f \u043e\u0442 \u0441\u043f\u0438\u0441\u043a\u0430?<\/strong> \u0412 \u0441\u043f\u0438\u0441\u043a\u0435 \u0443 \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430 \u043e\u0434\u0438\u043d \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439, \u044d\u0442\u043e \u043b\u0438\u043d\u0435\u0439\u043d\u0430\u044f \u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u0430. \u0412 \u0434\u0435\u0440\u0435\u0432\u0435 \u0443 \u0443\u0437\u043b\u0430 \u043c\u043e\u0436\u0435\u0442 \u0431\u044b\u0442\u044c \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u043e\u0442\u043e\u043c\u043a\u043e\u0432, \u0447\u0442\u043e \u0437\u0430\u0434\u0430\u0435\u0442 \u0438\u0435\u0440\u0430\u0440\u0445\u0438\u044e \u0438 \u0432\u0435\u0442\u0432\u043b\u0435\u043d\u0438\u0435, \u0430 \u043d\u0435 \u043e\u0434\u043d\u0443 \u0446\u0435\u043f\u043e\u0447\u043a\u0443.<\/p>\n<p><strong>\u041e\u0431\u044f\u0437\u0430\u0442\u0435\u043b\u044c\u043d\u043e \u043b\u0438 \u0443 \u0431\u0438\u043d\u0430\u0440\u043d\u043e\u0433\u043e \u0434\u0435\u0440\u0435\u0432\u0430 \u0440\u043e\u0432\u043d\u043e \u0434\u0432\u0430 \u043f\u043e\u0442\u043e\u043c\u043a\u0430 \u0443 \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0443\u0437\u043b\u0430?<\/strong> \u041d\u0435\u0442. \u0411\u0438\u043d\u0430\u0440\u043d\u043e\u0435 &#8212; \u0437\u043d\u0430\u0447\u0438\u0442 \u043d\u0435 \u0431\u043e\u043b\u044c\u0448\u0435 \u0434\u0432\u0443\u0445: \u0443 \u0443\u0437\u043b\u0430 \u043c\u043e\u0436\u0435\u0442 \u0431\u044b\u0442\u044c \u043d\u043e\u043b\u044c, \u043e\u0434\u0438\u043d \u0438\u043b\u0438 \u0434\u0432\u0430 \u043f\u043e\u0442\u043e\u043c\u043a\u0430. \u041d\u043e\u043b\u044c \u043f\u043e\u0442\u043e\u043c\u043a\u043e\u0432 &#8212; \u044d\u0442\u043e \u043b\u0438\u0441\u0442.<\/p>\n<p><strong>\u041f\u043e\u0447\u0435\u043c\u0443 \u043e\u0431\u0445\u043e\u0434 \u0438 \u043f\u043e\u0438\u0441\u043a \u0432 \u0434\u0435\u0440\u0435\u0432\u044c\u044f\u0445 \u0447\u0430\u0441\u0442\u043e \u043f\u0438\u0448\u0443\u0442 \u0440\u0435\u043a\u0443\u0440\u0441\u0438\u0435\u0439?<\/strong> \u041f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u0434\u0435\u0440\u0435\u0432\u043e \u0440\u0435\u043a\u0443\u0440\u0441\u0438\u0432\u043d\u043e \u043f\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044e: \u043a\u0430\u0436\u0434\u043e\u0435 \u043f\u043e\u0434\u0434\u0435\u0440\u0435\u0432\u043e &#8212; \u0442\u043e\u0436\u0435 \u0434\u0435\u0440\u0435\u0432\u043e. \u0420\u0435\u043a\u0443\u0440\u0441\u0438\u0432\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043e\u0431\u0440\u0430\u0431\u0430\u0442\u044b\u0432\u0430\u0435\u0442 \u0443\u0437\u0435\u043b \u0438 \u0432\u044b\u0437\u044b\u0432\u0430\u0435\u0442 \u0441\u0435\u0431\u044f \u0434\u043b\u044f \u043b\u0435\u0432\u043e\u0433\u043e \u0438 \u043f\u0440\u0430\u0432\u043e\u0433\u043e \u043f\u043e\u0434\u0434\u0435\u0440\u0435\u0432\u044c\u0435\u0432, \u0447\u0442\u043e \u0434\u043e\u0441\u043b\u043e\u0432\u043d\u043e \u043f\u043e\u0432\u0442\u043e\u0440\u044f\u0435\u0442 \u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u0443 \u0434\u0430\u043d\u043d\u044b\u0445.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0414\u0435\u0440\u0435\u0432\u043e &#8212; \u044d\u0442\u043e \u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u0430 \u0434\u0430\u043d\u043d\u044b\u0445, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u0445\u0440\u0430\u043d\u0438\u0442 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u044b (\u0443\u0437\u043b\u044b) \u0438 \u0441\u0432\u044f\u0437\u0438 \u043c\u0435\u0436\u0434\u0443 \u043d\u0438\u043c\u0438 \u0432 \u0432\u0438\u0434\u0435 \u0438\u0435\u0440\u0430\u0440\u0445\u0438\u0438: \u0443 \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0443\u0437\u043b\u0430 \u0435\u0441\u0442\u044c \u043e\u0434\u0438\u043d \u0440\u043e\u0434\u0438\u0442\u0435\u043b\u044c \u0438 \u043b\u044e\u0431\u043e\u0435 \u0447\u0438\u0441\u043b\u043e \u043f\u043e\u0442\u043e\u043c\u043a\u043e\u0432, \u0430 \u043a\u043e\u0440\u0435\u043d\u044c &#8212; \u0435\u0434\u0438\u043d\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0439 \u0443\u0437\u0435\u043b \u0431\u0435\u0437 \u0440\u043e\u0434\u0438\u0442\u0435\u043b\u044f. \u0424\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e \u0434\u0435\u0440\u0435\u0432\u043e &#8212; \u044d\u0442\u043e \u0447\u0430\u0441\u0442\u043d\u044b\u0439 \u0441\u043b\u0443\u0447\u0430\u0439 \u0433\u0440\u0430\u0444\u0430: \u0441\u0432\u044f\u0437\u043d\u044b\u0439 \u0433\u0440\u0430\u0444 \u0431\u0435\u0437 \u0446\u0438\u043a\u043b\u043e\u0432. \u0421\u043e\u0434\u0435\u0440\u0436\u0430\u043d\u0438\u0435 \u0414\u0435\u0440\u0435\u0432\u043e \u0438 \u0433\u0440\u0430\u0444: \u0432 \u0447\u0435\u043c \u0440\u0430\u0437\u043d\u0438\u0446\u0430 \u041e\u0441\u043d\u043e\u0432\u043d\u044b\u0435 \u0442\u0435\u0440\u043c\u0438\u043d\u044b \u0412\u0438\u0434\u044b \u0434\u0435\u0440\u0435\u0432\u044c\u0435\u0432 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