{"id":3373,"date":"2022-08-08T01:22:05","date_gmt":"2022-08-07T22:22:05","guid":{"rendered":"https:\/\/demensdeum.com\/blog\/?p=3373"},"modified":"2024-12-16T22:32:17","modified_gmt":"2024-12-16T19:32:17","slug":"heapsort","status":"publish","type":"post","link":"https:\/\/demensdeum.com\/blog\/ru\/2022\/08\/08\/heapsort\/","title":{"rendered":"Heapsort"},"content":{"rendered":"<p>Heapsort \u2013 \u043f\u0438\u0440\u0430\u043c\u0438\u0434\u0430\u043b\u044c\u043d\u0430\u044f \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0430. \u0412\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f \u0441\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430 &#8211; O(n log n), \u0448\u0443\u0441\u0442\u0440\u044b\u0439 \u0434\u0430? \u042f \u0431\u044b \u043d\u0430\u0437\u0432\u0430\u043b \u044d\u0442\u0443 \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0443 \u2013 \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u043e\u0439 \u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0445 \u043a\u0430\u043c\u0443\u0448\u043a\u043e\u0432. \u041e\u0431\u044a\u044f\u0441\u043d\u044f\u0442\u044c \u0435\u0451, \u043a\u0430\u043a \u043c\u043d\u0435 \u043a\u0430\u0436\u0435\u0442\u0441\u044f, \u043f\u0440\u043e\u0449\u0435 \u0432\u0441\u0435\u0433\u043e \u0432\u0438\u0437\u0443\u0430\u043b\u044c\u043d\u043e.<\/p>\n<p><iframe loading=\"lazy\" title=\"Cats Who Knock Things Over! (A compilation)\" width=\"620\" height=\"349\" src=\"https:\/\/www.youtube.com\/embed\/09CC-dYDNMQ?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/p>\n<p>\u041d\u0430 \u0432\u0445\u043e\u0434 \u043f\u043e\u0434\u0430\u0435\u0442\u0441\u044f \u0441\u043f\u0438\u0441\u043e\u043a \u0446\u0438\u0444\u0440, \u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440:<br \/>\n5, 0, 7, 2, 3, 9, 4<\/p>\n<p>\u0421\u043b\u0435\u0432\u0430 \u043d\u0430\u043f\u0440\u0430\u0432\u043e \u0434\u0435\u043b\u0430\u0435\u0442\u0441\u044f \u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u0430 \u0434\u0430\u043d\u043d\u044b\u0445 \u2013 \u0434\u0432\u043e\u0438\u0447\u043d\u043e\u0435 \u0434\u0435\u0440\u0435\u0432\u043e, \u0438\u043b\u0438 \u043a\u0430\u043a \u044f \u0435\u0435 \u043d\u0430\u0437\u044b\u0432\u0430\u044e &#8211; \u043f\u0438\u0440\u0430\u043c\u0438\u0434\u043a\u0430. \u0423 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u043e\u0432 \u043f\u0438\u0440\u0430\u043c\u0438\u0434\u043a\u0438 \u043c\u043e\u0433\u0443\u0442 \u0431\u044b\u0442\u044c \u043c\u0430\u043a\u0441\u0438\u043c\u0443\u043c \u0434\u0432\u0430 \u0434\u043e\u0447\u0435\u0440\u043d\u0438\u0445 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430, \u0441\u043e-\u043d\u043e \u0432\u0441\u0435\u0433\u043e \u043e\u0434\u0438\u043d \u0432\u0435\u0440\u0445\u043d\u0438\u0439 \u044d\u043b\u0435\u043c\u0435\u043d\u0442.<\/p>\n<p>\u0421\u0434\u0435\u043b\u0430\u0435\u043c \u0434\u0432\u043e\u0438\u0447\u043d\u043e\u0435 \u0434\u0435\u0440\u0435\u0432\u043e:<br \/>\n\u2800\u28005<br \/>\n\u28000\u28007<br \/>\n2 3 9 4<\/p>\n<p>\u0415\u0441\u043b\u0438 \u0434\u043e\u043b\u0433\u043e \u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u043d\u0430 \u043f\u0438\u0440\u0430\u043c\u0438\u0434\u043a\u0443, \u0442\u043e \u043c\u043e\u0436\u043d\u043e \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u0447\u0442\u043e \u044d\u0442\u043e \u043f\u0440\u043e\u0441\u0442\u043e \u0447\u0438\u0441\u043b\u0430 \u0438\u0437 \u043c\u0430\u0441\u0441\u0438\u0432\u0430, \u0438\u0434\u0443\u0449\u0438\u0435 \u0434\u0440\u0443\u0433 \u0437\u0430 \u0434\u0440\u0443\u0433\u043e\u043c, \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u043e\u0432 \u0432 \u043a\u0430\u0436\u0434\u043e\u043c \u044d\u0442\u0430\u0436\u0435 \u0443\u043c\u043d\u043e\u0436\u0430\u0435\u0442\u0441\u044f \u043d\u0430 \u0434\u0432\u0430.<\/p>\n<p>\u0414\u0430\u043b\u0435\u0435 \u043d\u0430\u0447\u0438\u043d\u0430\u0435\u0442\u0441\u044f \u0441\u0430\u043c\u043e\u0435 \u0438\u043d\u0442\u0435\u0440\u0435\u0441\u043d\u043e\u0435, \u043e\u0442\u0441\u043e\u0440\u0442\u0438\u0440\u0443\u0435\u043c \u043f\u0438\u0440\u0430\u043c\u0438\u0434\u043a\u0443 \u0441\u043d\u0438\u0437\u0443 \u0432\u0432\u0435\u0440\u0445, \u043c\u0435\u0442\u043e\u0434\u043e\u043c \u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0445 \u043a\u0430\u043c\u0443\u0448\u043a\u043e\u0432 (heapify). \u0421\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0443 \u043c\u043e\u0436\u043d\u043e \u0431\u044b\u043b\u043e \u0431\u044b \u043d\u0430\u0447\u0438\u043d\u0430\u0442\u044c \u0441 \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0435\u0433\u043e \u044d\u0442\u0430\u0436\u0430 (2 3 9 4 ), \u043d\u043e \u0441\u043c\u044b\u0441\u043b\u0430 \u043d\u0435\u0442 \u0442.\u043a. \u043d\u0435\u0442 \u044d\u0442\u0430\u0436\u0430 \u043d\u0438\u0436\u0435, \u043a\u0443\u0434\u0430 \u043c\u043e\u0436\u043d\u043e \u0431\u044b\u043b\u043e \u0431\u044b \u0443\u043f\u0430\u0441\u0442\u044c.<\/p>\n<p>\u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0430\u0447\u0438\u043d\u0430\u0435\u043c \u0440\u043e\u043d\u044f\u0442\u044c \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u044b \u0441 \u043f\u0440\u0435\u0434\u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0435\u0433\u043e \u044d\u0442\u0430\u0436\u0430 (0 7)<br \/>\n\u2800\u28005<br \/>\n\u28000\u2800<strong>7<\/strong><br \/>\n2 3 9 4<\/p>\n<p>\u041f\u0435\u0440\u0432\u044b\u0439 \u044d\u043b\u0435\u043c\u0435\u043d\u0442 \u0434\u043b\u044f \u043f\u0430\u0434\u0435\u043d\u0438\u044f \u0432\u044b\u0431\u0438\u0440\u0430\u0435\u0442\u0441\u044f \u0441\u043f\u0440\u0430\u0432\u0430, \u043d\u0430\u0448\u0435\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u044d\u0442\u043e 7, \u0434\u0430\u043b\u0435\u0435 \u0441\u043c\u043e\u0442\u0440\u0438\u043c \u0447\u0442\u043e \u043f\u043e\u0434 \u043d\u0438\u043c, \u0430 \u043f\u043e\u0434 \u043d\u0438\u043c 9 \u0438 4, \u0434\u0435\u0432\u044f\u0442\u043a\u0430 \u0431\u043e\u043b\u044c\u0448\u0435 \u0447\u0435\u0442\u0432\u0435\u0440\u043a\u0438, \u0442\u0430\u043a \u0435\u0449\u0435 \u0438 \u0434\u0435\u0432\u044f\u0442\u043a\u0430 \u0431\u043e\u043b\u044c\u0448\u0435 \u0441\u0435\u043c\u0435\u0440\u043a\u0438! \u0420\u043e\u043d\u044f\u0435\u043c 7 \u043d\u0430 9, \u0430 9 \u043f\u043e\u0434\u043d\u0438\u043c\u0430\u0435\u043c \u043d\u0430 \u043c\u0435\u0441\u0442\u043e 7.<br \/>\n\u2800\u28005<br \/>\n\u28000\u28009<br \/>\n2 3 <strong>7<\/strong> 4<\/p>\n<p>\u0414\u0430\u043b\u0435\u0435 \u043f\u043e\u043d\u0438\u043c\u0430\u0435\u043c \u0447\u0442\u043e \u0441\u0435\u043c\u0435\u0440\u043a\u0435 \u043f\u0430\u0434\u0430\u0442\u044c \u043d\u0438\u0436\u0435 \u043d\u0435\u043a\u0443\u0434\u0430, \u043f\u0435\u0440\u0435\u0445\u043e\u0434\u0438\u043c \u043a \u0447\u0438\u0441\u043b\u0443 0 \u043a\u043e\u0442\u043e\u0440\u043e\u0435 \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u0441\u044f \u043d\u0430 \u043f\u0440\u0435\u0434\u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0435\u043c \u044d\u0442\u0430\u0436\u0435 \u0441\u043b\u0435\u0432\u0430:<br \/>\n\u2800\u28005<br \/>\n\u2800<strong>0<\/strong>\u28009<br \/>\n2 3 7 4<\/p>\n<p>\u0421\u043c\u043e\u0442\u0440\u0438\u043c \u0447\u0442\u043e \u043f\u043e\u0434 \u043d\u0438\u043c &#8211; 2 \u0438 3, \u0434\u0432\u0430 \u043c\u0435\u043d\u044c\u0448\u0435 \u0442\u0440\u0435\u0445, \u0442\u0440\u0438 \u0431\u043e\u043b\u044c\u0448\u0435 \u043d\u0443\u043b\u044f, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u0435\u043d\u044f\u0435\u043c \u043d\u043e\u043b\u044c \u0438 \u0442\u0440\u0438 \u043c\u0435\u0441\u0442\u0430\u043c\u0438:<br \/>\n\u2800\u28005<br \/>\n\u28003\u28009<br \/>\n2 <strong>0<\/strong> 7 4<\/p>\n<p>\u041a\u043e\u0433\u0434\u0430 \u0434\u043e\u0431\u0440\u0430\u043b\u0438\u0441\u044c \u0434\u043e \u043a\u043e\u043d\u0446\u0430 \u044d\u0442\u0430\u0436\u0430 \u2013 \u043f\u0435\u0440\u0435\u0445\u043e\u0434\u0438\u0442\u0435 \u043d\u0430 \u044d\u0442\u0430\u0436 \u0432\u044b\u0448\u0435 \u0438 \u0440\u043e\u043d\u044f\u0439\u0442\u0435 \u0442\u0430\u043c \u0432\u0441\u0451, \u0435\u0441\u043b\u0438 \u0441\u043c\u043e\u0436\u0435\u0442\u0435.<br \/>\n\u0412 \u0438\u0442\u043e\u0433\u0435 \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u0441\u044f \u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u0430 \u0434\u0430\u043d\u043d\u044b\u0445 \u2013 \u043a\u0443\u0447\u0430 (heap), \u0430 \u0438\u043c\u0435\u043d\u043d\u043e max heap, \u0442.\u043a. \u043d\u0430\u0432\u0435\u0440\u0445\u0443 \u0441\u0430\u043c\u044b\u0439 \u0431\u043e\u043b\u044c\u0448\u043e\u0439 \u044d\u043b\u0435\u043c\u0435\u043d\u0442:<br \/>\n\u2800\u2800<strong>9<\/strong><br \/>\n\u28003\u28007<br \/>\n2 0 5 4<\/p>\n<p>\u0415\u0441\u043b\u0438 \u0432\u0435\u0440\u043d\u0443\u0442\u044c \u0432 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u043c\u0430\u0441\u0441\u0438\u0432\u0430, \u0442\u043e \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u0441\u044f \u0441\u043f\u0438\u0441\u043e\u043a:<br \/>\n[<strong>9<\/strong>, 3, 7, 2, 0, 5, 4]<\/p>\n<p>\u0418\u0437 \u044d\u0442\u043e\u0433\u043e \u043c\u043e\u0436\u043d\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c \u0432\u044b\u0432\u043e\u0434, \u0447\u0442\u043e \u043f\u043e\u043c\u0435\u043d\u044f\u0432 \u043c\u0435\u0441\u0442\u0430\u043c\u0438 \u043f\u0435\u0440\u0432\u044b\u0439 \u0438 \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0438\u0439 \u044d\u043b\u0435\u043c\u0435\u043d\u0442, \u043c\u044b \u043f\u043e\u043b\u0443\u0447\u0438\u043c \u043f\u0435\u0440\u0432\u043e\u0435 \u0447\u0438\u0441\u043b\u043e \u0432 \u043e\u043a\u043e\u043d\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u043e\u0442\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u043e\u0439 \u043f\u043e\u0437\u0438\u0446\u0438\u0438, \u0430 \u0438\u043c\u0435\u043d\u043d\u043e 9 \u0434\u043e\u043b\u0436\u043d\u0430 \u0441\u0442\u043e\u044f\u0442\u044c \u0432 \u043a\u043e\u043d\u0446\u0435 \u043e\u0442\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u043e\u0433\u043e \u0441\u043f\u0438\u0441\u043a\u0430, \u043c\u0435\u043d\u044f\u0435\u043c \u043c\u0435\u0441\u0442\u0430\u043c\u0438:<br \/>\n[4, 3, 7, 2, 0, 5, <strong>9<\/strong>]<\/p>\n<p>\u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u043d\u0430 \u0431\u0438\u043d\u0430\u0440\u043d\u043e\u0435 \u0434\u0435\u0440\u0435\u0432\u043e:<br \/>\n\u2800\u28004<br \/>\n\u28003\u28007<br \/>\n2 0 5 9<\/p>\n<p>\u041f\u043e\u043b\u0443\u0447\u0438\u043b\u0430\u0441\u044c \u0441\u0438\u0442\u0443\u0430\u0446\u0438\u044f \u043f\u0440\u0438 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u043d\u0438\u0436\u043d\u044f\u044f \u0447\u0430\u0441\u0442\u044c \u0434\u0440\u0435\u0432\u0430 \u043e\u0442\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u0430, \u043d\u0443\u0436\u043d\u043e \u043b\u0438\u0448\u044c \u0443\u0440\u043e\u043d\u0438\u0442\u044c 4 \u0434\u043e \u043a\u043e\u0440\u0440\u0435\u043a\u0442\u043d\u043e\u0439 \u043f\u043e\u0437\u0438\u0446\u0438\u0438, \u043f\u043e\u0432\u0442\u043e\u0440\u044f\u0435\u043c \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c, \u043d\u043e \u043d\u0435 \u0443\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u043c \u0443\u0436\u0435 \u043e\u0442\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u044b\u0435 \u0447\u0438\u0441\u043b\u0430, \u0430 \u0438\u043c\u0435\u043d\u043d\u043e 9:<br \/>\n\u2800\u2800<strong>4<\/strong><br \/>\n\u28003\u28007<br \/>\n2 0 5 9<\/p>\n<p>\u2800\u28007<br \/>\n\u28003\u2800<strong>4<\/strong><br \/>\n2 0 5 9<\/p>\n<p>\u2800\u28007<br \/>\n\u28003\u28005<br \/>\n2 0 <strong>4<\/strong> 9<\/p>\n<p>\u041f\u043e\u043b\u0443\u0447\u0438\u043b\u043e\u0441\u044c \u0447\u0442\u043e \u043c\u044b, \u0443\u0440\u043e\u043d\u0438\u0432 4, \u043f\u043e\u0434\u043d\u044f\u043b\u0438 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u043f\u043e\u0441\u043b\u0435 9 \u0441\u0430\u043c\u043e\u0435 \u0431\u043e\u043b\u044c\u0448\u0435 \u0447\u0438\u0441\u043b\u043e &#8211; 7. \u041c\u0435\u043d\u044f\u0435\u043c \u043c\u0435\u0441\u0442\u0430\u043c\u0438 \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0435\u0435 \u043d\u0435\u043e\u0442\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e (4) \u0438 \u0441\u0430\u043c\u043e\u0435 \u0431\u043e\u043b\u044c\u0448\u0435 \u0447\u0438\u0441\u043b\u043e (7)<br \/>\n\u2800\u28004<br \/>\n\u28003\u28005<br \/>\n2 0 7 9<\/p>\n<p>\u041f\u043e\u043b\u0443\u0447\u0438\u043b\u043e\u0441\u044c \u0447\u0442\u043e \u0442\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u0438\u043c\u0435\u0435\u043c \u0434\u0432\u0430 \u0447\u0438\u0441\u043b\u0430 \u0432 \u043a\u043e\u0440\u0440\u0435\u043a\u0442\u043d\u043e\u0439 \u043e\u043a\u043e\u043d\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u043f\u043e\u0437\u0438\u0446\u0438\u0438:<br \/>\n4, 3, 5, 2, 0, <strong>7<\/strong>, <strong>9<\/strong><\/p>\n<p>\u0414\u0430\u043b\u0435\u0435 \u043f\u043e\u0432\u0442\u043e\u0440\u044f\u0435\u043c \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0438, \u0438\u0433\u043d\u043e\u0440\u0438\u0440\u0443\u044f \u0443\u0436\u0435 \u043e\u0442\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u044b\u0435, \u0432 \u0438\u0442\u043e\u0433\u0435 \u043f\u043e\u043b\u0443\u0447\u0438\u043c <a href=\"https:\/\/www.youtube.com\/watch?v=nnun8y7r8_U\" target=\"_blank\" rel=\"noopener\">\u043a\u0443\u0447\u0443<\/a> \u0432\u0438\u0434\u0430:<br \/>\n\u2800\u28000<br \/>\n\u28002\u28003<br \/>\n4 5 7 9<\/p>\n<p>\u0418\u043b\u0438 \u0432 \u0432\u0438\u0434\u0435 \u0441\u043f\u0438\u0441\u043a\u0430:<br \/>\n0, 2, 3, 4, 5, 7, 9<\/p>\n<h3>\u0420\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f<\/h3>\n<p>\u0410\u043b\u0433\u043e\u0440\u0438\u0442\u043c \u043e\u0431\u044b\u0447\u043d\u043e \u0440\u0430\u0437\u0434\u0435\u043b\u044f\u044e\u0442 \u043d\u0430 \u0442\u0440\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0438:<\/p>\n<ol>\n<li>\u0421\u043e\u0437\u0434\u0430\u043d\u0438\u0435 \u043a\u0443\u0447\u0438<\/li>\n<li>\u0410\u043b\u0433\u043e\u0440\u0438\u0442\u043c \u043f\u0440\u043e\u0441\u0435\u0438\u0432\u0430\u043d\u0438\u044f (heapify)<\/li>\n<li>\u0417\u0430\u043c\u0435\u043d\u0430 \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0435\u0433\u043e \u043d\u0435\u043e\u0442\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u043e\u0433\u043e \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430 \u0438 \u043f\u0435\u0440\u0432\u043e\u0433\u043e<\/li>\n<\/ol>\n<p>\u041a\u0443\u0447\u0430 \u0441\u043e\u0437\u0434\u0430\u0435\u0442\u0441\u044f \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043f\u0440\u043e\u0445\u043e\u0434\u0430 \u043f\u043e \u043f\u0440\u0435\u0434\u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0435\u043c\u0443 \u0440\u044f\u0434\u0443 \u0431\u0438\u043d\u0430\u0440\u043d\u043e\u0433\u043e \u0434\u0435\u0440\u0435\u0432\u0430 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u0438 heapify, \u0441\u043f\u0440\u0430\u0432\u0430 \u043d\u0430\u043b\u0435\u0432\u043e \u0434\u043e \u043a\u043e\u043d\u0446\u0430 \u043c\u0430\u0441\u0441\u0438\u0432\u0430. \u0414\u0430\u043b\u0435\u0435 \u0432 \u0446\u0438\u043a\u043b\u0435 \u0434\u0435\u043b\u0430\u0435\u0442\u0441\u044f \u043f\u0435\u0440\u0432\u0430\u044f \u0437\u0430\u043c\u0435\u043d\u0430 \u0447\u0438\u0441\u0435\u043b, \u043f\u043e\u0441\u043b\u0435 \u0447\u0435\u0433\u043e \u043f\u0435\u0440\u0432\u044b\u0439 \u044d\u043b\u0435\u043c\u0435\u043d\u0442 \u043f\u0430\u0434\u0430\u0435\u0442\/\u043e\u0441\u0442\u0430\u0435\u0442\u0441\u044f \u043d\u0430 \u043c\u0435\u0441\u0442\u0435, \u0432 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0435 \u0447\u0435\u0433\u043e \u0441\u0430\u043c\u044b\u0439 \u0431\u043e\u043b\u044c\u0448\u043e\u0439 \u044d\u043b\u0435\u043c\u0435\u043d\u0442 \u043f\u043e\u043f\u0430\u0434\u0430\u0435\u0442 \u043d\u0430 \u043f\u0435\u0440\u0432\u043e\u0435 \u043c\u0435\u0441\u0442\u043e, \u0446\u0438\u043a\u043b \u043f\u043e\u0432\u0442\u043e\u0440\u044f\u0435\u0442\u0441\u044f \u0441 \u0443\u043c\u0435\u043d\u044c\u0448\u0435\u043d\u0438\u0435\u043c \u0443\u0447\u0430\u0441\u0442\u043d\u0438\u043a\u043e\u0432 \u043d\u0430 \u0435\u0434\u0438\u043d\u0438\u0446\u0443, \u0442.\u043a. \u043f\u043e\u0441\u043b\u0435 \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u043f\u0440\u043e\u0445\u043e\u0434\u0430 \u0432 \u043a\u043e\u043d\u0446\u0435 \u0441\u043f\u0438\u0441\u043a\u0430 \u043e\u0441\u0442\u0430\u044e\u0442\u0441\u044f \u043e\u0442\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u044b\u0435 \u0447\u0438\u0441\u043b\u0430.<\/p>\n<p>\u041f\u0440\u0438\u043c\u0435\u0440 Heapsort \u043d\u0430 Ruby:<\/p>\n<div class=\"hcb_wrap\">\n<div class=\"hcb_wrap\">\n<div class=\"hcb_wrap\">\n<pre class=\"prism line-numbers lang-unknown\" data-lang=\"unknown\"><code>\n\n\n\n\nmodule Colors\n\n\n\n    BLUE = \"\\033[94m\"\n\n\n\n    RED = \"\\033[31m\"\n\n\n\n    STOP = \"\\033[0m\"\n\n\n\nend\n\n\n\n\n\n\n\ndef heapsort(rawNumbers)\n\n\n\n    numbers = rawNumbers.dup\n\n\n\n\n\n\n\n    def swap(numbers, from, to)\n\n\n\n        temp = numbers[from]\n\n\n\n        numbers[from] = numbers[to]\n\n\n\n        numbers[to] = temp\n\n\n\n    end\n\n\n\n\n\n\n\n    def heapify(numbers)\n\n\n\n        count = numbers.length()\n\n\n\n        lastParentNode = (count - 2) \/ 2\n\n\n\n\n\n\n\n        for start in lastParentNode.downto(0)\n\n\n\n            siftDown(numbers, start, count - 1)\n\n\n\n            start -= 1 \n\n\n\n        end\n\n\n\n\n\n\n\n        if DEMO\n\n\n\n            puts \"--- heapify ends ---\"\n\n\n\n        end\n\n\n\n    end\n\n\n\n\n\n\n\n    def siftDown(numbers, start, rightBound)      \n\n\n\n        cursor = start\n\n\n\n        printBinaryHeap(numbers, cursor, rightBound)\n\n\n\n\n\n\n\n        def calculateLhsChildIndex(cursor)\n\n\n\n            return cursor * 2 + 1\n\n\n\n        end\n\n\n\n\n\n\n\n        def calculateRhsChildIndex(cursor)\n\n\n\n            return cursor * 2 + 2\n\n\n\n        end            \n\n\n\n\n\n\n\n        while calculateLhsChildIndex(cursor) <= rightBound\n\n\n\n            lhsChildIndex = calculateLhsChildIndex(cursor)\n\n\n\n            rhsChildIndex = calculateRhsChildIndex(cursor)\n\n\n\n\n\n\n\n            lhsNumber = numbers[lhsChildIndex]\n\n\n\n            biggerChildIndex = lhsChildIndex\n\n\n\n\n\n\n\n            if rhsChildIndex <= rightBound\n\n\n\n                rhsNumber = numbers[rhsChildIndex]\n\n\n\n                if lhsNumber < rhsNumber\n\n\n\n                    biggerChildIndex = rhsChildIndex\n\n\n\n                end\n\n\n\n            end\n\n\n\n\n\n\n\n            if numbers[cursor] < numbers[biggerChildIndex]\n\n\n\n                swap(numbers, cursor, biggerChildIndex)\n\n\n\n                cursor = biggerChildIndex\n\n\n\n            else\n\n\n\n                break\n\n\n\n            end\n\n\n\n            printBinaryHeap(numbers, cursor, rightBound)\n\n\n\n        end\n\n\n\n        printBinaryHeap(numbers, cursor, rightBound)\n\n\n\n    end\n\n\n\n\n\n\n\n    def printBinaryHeap(numbers, nodeIndex = -1, rightBound = -1)\n\n\n\n        if DEMO == false\n\n\n\n            return\n\n\n\n        end\n\n\n\n        perLineWidth = (numbers.length() * 4).to_i\n\n\n\n        linesCount = Math.log2(numbers.length()).ceil()\n\n\n\n        xPrinterCount = 1\n\n\n\n        cursor = 0\n\n\n\n        spacing = 3\n\n\n\n        for y in (0..linesCount)\n\n\n\n            line = perLineWidth.times.map { \" \" }\n\n\n\n            spacing = spacing == 3 ? 4 : 3\n\n\n\n            printIndex = (perLineWidth \/ 2) - (spacing * xPrinterCount) \/ 2\n\n\n\n            for x in (0..xPrinterCount - 1)\n\n\n\n                if cursor >= numbers.length\n\n\n\n                    break\n\n\n\n                end\n\n\n\n                if nodeIndex != -1 && cursor == nodeIndex\n\n\n\n                    line[printIndex] = \"%s%s%s\" % [Colors::RED, numbers[cursor].to_s, Colors::STOP]\n\n\n\n                elsif rightBound != -1 && cursor > rightBound\n\n\n\n                    line[printIndex] = \"%s%s%s\" % [Colors::BLUE, numbers[cursor].to_s, Colors::STOP]\n\n\n\n                else\n\n\n\n                    line[printIndex] = numbers[cursor].to_s\n\n\n\n                end\n\n\n\n                cursor += 1\n\n\n\n                printIndex += spacing\n\n\n\n            end\n\n\n\n            print line.join()\n\n\n\n            xPrinterCount *= 2           \n\n\n\n            print \"\\n\"            \n\n\n\n        end\n\n\n\n    end\n\n\n\n\n\n\n\n    heapify(numbers)\n\n\n\n    rightBound = numbers.length() - 1\n\n\n\n\n\n\n\n    while rightBound > 0\n\n\n\n        swap(numbers, 0, rightBound)   \n\n\n\n        rightBound -= 1\n\n\n\n        siftDown(numbers, 0, rightBound)     \n\n\n\n    end\n\n\n\n\n\n\n\n    return numbers\n\n\n\nend\n\n\n\n\n\n\n\nnumbersCount = 14\n\n\n\nmaximalNumber = 10\n\n\n\nnumbers = numbersCount.times.map { Random.rand(maximalNumber) }\n\n\n\nprint numbers\n\n\n\nprint \"\\n---\\n\"\n\n\n\n\n\n\n\nstart = Time.now\n\n\n\nsortedNumbers = heapsort(numbers)\n\n\n\nfinish = Time.now\n\n\n\nheapSortTime = start - finish\n\n\n\n\n\n\n\nstart = Time.now\n\n\n\nreferenceSortedNumbers = numbers.sort()\n\n\n\nfinish = Time.now\n\n\n\nreferenceSortTime = start - finish\n\n\n\n\n\n\n\nprint \"Reference sort: \"\n\n\n\nprint referenceSortedNumbers\n\n\n\nprint \"\\n\"\n\n\n\nprint \"Reference sort time: %f\\n\" % referenceSortTime\n\n\n\nprint \"Heap sort:      \"\n\n\n\nprint sortedNumbers\n\n\n\nprint \"\\n\"\n\n\n\nif DEMO == false\n\n\n\n    print \"Heap sort time:      %f\\n\" % heapSortTime\n\n\n\nelse\n\n\n\n    print \"Disable DEMO for performance measure\\n\"\n\n\n\nend\n\n\n\n\n\n\n\nif sortedNumbers != referenceSortedNumbers\n\n\n\n    puts \"Validation failed\"\n\n\n\n    exit 1\n\n\n\nelse\n\n\n\n    puts \"Validation success\"\n\n\n\n    exit 0\n\n\n\nend\n\n\n\n<\/code><\/pre>\n<\/div>\n<\/div>\n<\/div>\n<p>\u0411\u0435\u0437 \u0432\u0438\u0437\u0443\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u0438 \u0434\u0430\u043d\u043d\u044b\u0439 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c \u043f\u043e\u043d\u044f\u0442\u044c \u043d\u0435 \u043f\u0440\u043e\u0441\u0442\u043e, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043f\u0435\u0440\u0432\u043e\u0435 \u0447\u0442\u043e \u044f \u0440\u0435\u043a\u043e\u043c\u0435\u043d\u0434\u0443\u044e \u2013 \u043d\u0430\u043f\u0438\u0441\u0430\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u0431\u0443\u0434\u0435\u0442 \u043f\u0435\u0447\u0430\u0442\u0430\u0442\u044c \u0442\u0435\u043a\u0443\u0449\u0438\u0439 \u0432\u0438\u0434 \u0431\u0438\u043d\u0430\u0440\u043d\u043e\u0433\u043e \u0434\u0435\u0440\u0435\u0432\u0430.<\/p>\n<h3>\u0421\u0441\u044b\u043b\u043a\u0438<\/h3>\n<p><a href=\"https:\/\/gitlab.com\/demensdeum\/algorithms\/-\/blob\/master\/sortAlgorithms\/heapsort\/heapsort.rb\" target=\"_blank\" rel=\"noopener\">https:\/\/gitlab.com\/demensdeum\/algorithms\/-\/blob\/master\/sortAlgorithms\/heapsort\/heapsort.rb<\/a><\/p>\n<h3>\u0418\u0441\u0442\u043e\u0447\u043d\u0438\u043a\u0438<\/h3>\n<p><a href=\"http:\/\/rosettacode.org\/wiki\/Sorting_algorithms\/Heapsort\" target=\"_blank\" rel=\"noopener\">http:\/\/rosettacode.org\/wiki\/Sorting_algorithms\/Heapsort<\/a><br \/>\n<a href=\"https:\/\/www.youtube.com\/watch?v=LbB357_RwlY\" target=\"_blank\" rel=\"noopener\">https:\/\/www.youtube.com\/watch?v=LbB357_RwlY<\/a><\/p>\n<p><a href=\"https:\/\/habr.com\/ru\/company\/otus\/blog\/460087\/\" target=\"_blank\" rel=\"noopener\">https:\/\/habr.com\/ru\/company\/otus\/blog\/460087\/<\/a><\/p>\n<p><a href=\"https:\/\/ru.wikipedia.org\/wiki\/\u041f\u0438\u0440\u0430\u043c\u0438\u0434\u0430\u043b\u044c\u043d\u0430\u044f_\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0430\" target=\"_blank\" rel=\"noopener\">https:\/\/ru.wikipedia.org\/wiki\/\u041f\u0438\u0440\u0430\u043c\u0438\u0434\u0430\u043b\u044c\u043d\u0430\u044f_\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0430<\/a><\/p>\n<p><a href=\"https:\/\/neerc.ifmo.ru\/wiki\/index.php?title=\u0421\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0430_\u043a\u0443\u0447\u0435\u0439\" target=\"_blank\" rel=\"noopener\">https:\/\/neerc.ifmo.ru\/wiki\/index.php?title=\u0421\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0430_\u043a\u0443\u0447\u0435\u0439<\/a><\/p>\n<p><a href=\"https:\/\/wiki5.ru\/wiki\/Heapsort\" target=\"_blank\" rel=\"noopener\">https:\/\/wiki5.ru\/wiki\/Heapsort<\/a><\/p>\n<p><a href=\"https:\/\/wiki.c2.com\/?HeapSort\" target=\"_blank\" rel=\"noopener\">https:\/\/wiki.c2.com\/?HeapSort<\/a><\/p>\n<p><a href=\"https:\/\/ru.wikipedia.org\/wiki\/%D0%94%D0%B5%D1%80%D0%B5%D0%B2%D0%BE_(%D1%81%D1%82%D1%80%D1%83%D0%BA%D1%82%D1%83%D1%80%D0%B0_%D0%B4%D0%B0%D0%BD%D0%BD%D1%8B%D1%85)\" target=\"_blank\" rel=\"noopener\">https:\/\/ru.wikipedia.org\/wiki\/\u0414\u0435\u0440\u0435\u0432\u043e (\u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u0430 \u0434\u0430\u043d\u043d\u044b\u0445)<\/a><\/p>\n<p><a href=\"https:\/\/ru.wikipedia.org\/wiki\/%D0%9A%D1%83%D1%87%D0%B0_(%D1%81%D1%82%D1%80%D1%83%D0%BA%D1%82%D1%83%D1%80%D0%B0_%D0%B4%D0%B0%D0%BD%D0%BD%D1%8B%D1%85)\" target=\"_blank\" rel=\"noopener\">https:\/\/ru.wikipedia.org\/wiki\/\u041a\u0443\u0447\u0430 (\u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u0430 \u0434\u0430\u043d\u043d\u044b\u0445)<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=2DmK_H7IdTo\" target=\"_blank\" rel=\"noopener\">https:\/\/www.youtube.com\/watch?v=2DmK_H7IdTo<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=kU4KBD4NFtw\" target=\"_blank\" rel=\"noopener\">https:\/\/www.youtube.com\/watch?v=kU4KBD4NFtw<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=DU1uG5310x0\" target=\"_blank\" rel=\"noopener\">https:\/\/www.youtube.com\/watch?v=DU1uG5310x0<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=BzQGPA_v-vc\" target=\"_blank\" rel=\"noopener\">https:\/\/www.youtube.com\/watch?v=BzQGPA_v-vc<\/a><\/p>\n<p><a href=\"https:\/\/www.geeksforgeeks.org\/array-representation-of-binary-heap\/\" target=\"_blank\" rel=\"noopener\">https:\/\/www.geeksforgeeks.org\/array-representation-of-binary-heap\/<\/a><\/p>\n<p><a href=\"https:\/\/habr.com\/ru\/post\/112222\/\" target=\"_blank\" rel=\"noopener\">https:\/\/habr.com\/ru\/post\/112222\/<\/a><\/p>\n<p><a href=\"https:\/\/www.cs.usfca.edu\/~galles\/visualization\/BST.html\" target=\"_blank\" rel=\"noopener\">https:\/\/www.cs.usfca.edu\/~galles\/visualization\/BST.html<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=EQzqHWtsKq4\" target=\"_blank\" rel=\"noopener\">https:\/\/www.youtube.com\/watch?v=EQzqHWtsKq4<\/a><\/p>\n<p><a href=\"https:\/\/medium.com\/@dimko1\/%D0%B0%D0%BB%D0%B3%D0%BE%D1%80%D0%B8%D1%82%D0%BC%D1%8B-%D1%81%D0%BE%D1%80%D1%82%D0%B8%D1%80%D0%BE%D0%B2%D0%BA%D0%B8-heapsort-796ba965018b\" target=\"_blank\" rel=\"noopener\">https:\/\/medium.com\/@dimko1\/%D0%B0%D0%BB%D0%B3%D0%BE%D1%80%D0%B8%D1%82%D0%BC%D1%8B-%D1%81%D0%BE%D1%80%D1%82%D0%B8%D1%80%D0%BE%D0%B2%D0%BA%D0%B8-heapsort-796ba965018b<\/a><\/p>\n<p><a href=\"https:\/\/ru.wikibrief.org\/wiki\/Heapsort\" target=\"_blank\" rel=\"noopener\">https:\/\/ru.wikibrief.org\/wiki\/Heapsort<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=GUUpmrTnNbw\" target=\"_blank\" rel=\"noopener\">https:\/\/www.youtube.com\/watch?v=GUUpmrTnNbw<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Heapsort \u2013 \u043f\u0438\u0440\u0430\u043c\u0438\u0434\u0430\u043b\u044c\u043d\u0430\u044f \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0430. \u0412\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f \u0441\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430 &#8211; O(n log n), \u0448\u0443\u0441\u0442\u0440\u044b\u0439 \u0434\u0430? \u042f \u0431\u044b \u043d\u0430\u0437\u0432\u0430\u043b \u044d\u0442\u0443 \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0443 \u2013 \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u043e\u0439 \u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0445 \u043a\u0430\u043c\u0443\u0448\u043a\u043e\u0432. \u041e\u0431\u044a\u044f\u0441\u043d\u044f\u0442\u044c \u0435\u0451, \u043a\u0430\u043a \u043c\u043d\u0435 \u043a\u0430\u0436\u0435\u0442\u0441\u044f, \u043f\u0440\u043e\u0449\u0435 \u0432\u0441\u0435\u0433\u043e \u0432\u0438\u0437\u0443\u0430\u043b\u044c\u043d\u043e. \u041d\u0430 \u0432\u0445\u043e\u0434 \u043f\u043e\u0434\u0430\u0435\u0442\u0441\u044f \u0441\u043f\u0438\u0441\u043e\u043a \u0446\u0438\u0444\u0440, \u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440: 5, 0, 7, 2, 3, 9, 4 \u0421\u043b\u0435\u0432\u0430 \u043d\u0430\u043f\u0440\u0430\u0432\u043e \u0434\u0435\u043b\u0430\u0435\u0442\u0441\u044f \u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u0430 \u0434\u0430\u043d\u043d\u044b\u0445 \u2013 \u0434\u0432\u043e\u0438\u0447\u043d\u043e\u0435 \u0434\u0435\u0440\u0435\u0432\u043e, \u0438\u043b\u0438 \u043a\u0430\u043a \u044f \u0435\u0435<a class=\"more-link\" href=\"https:\/\/demensdeum.com\/blog\/ru\/2022\/08\/08\/heapsort\/\">Continue reading <span class=\"screen-reader-text\">&#8220;Heapsort&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[61,52],"tags":[131,204,190],"class_list":["post-3373","post","type-post","status-publish","format-standard","hentry","category-techie","category-tutorials","tag-algorithms","tag-heapsort","tag-sorting","entry"],"translation":{"provider":"WPGlobus","version":"3.0.2","language":"ru","enabled_languages":["en","ru","zh","de","fr","ja","pt","hi"],"languages":{"en":{"title":true,"content":true,"excerpt":false},"ru":{"title":true,"content":true,"excerpt":false},"zh":{"title":true,"content":true,"excerpt":false},"de":{"title":true,"content":true,"excerpt":false},"fr":{"title":true,"content":true,"excerpt":false},"ja":{"title":true,"content":true,"excerpt":false},"pt":{"title":true,"content":true,"excerpt":false},"hi":{"title":false,"content":false,"excerpt":false}}},"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/demensdeum.com\/blog\/ru\/wp-json\/wp\/v2\/posts\/3373","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/demensdeum.com\/blog\/ru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/demensdeum.com\/blog\/ru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/demensdeum.com\/blog\/ru\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/demensdeum.com\/blog\/ru\/wp-json\/wp\/v2\/comments?post=3373"}],"version-history":[{"count":22,"href":"https:\/\/demensdeum.com\/blog\/ru\/wp-json\/wp\/v2\/posts\/3373\/revisions"}],"predecessor-version":[{"id":3866,"href":"https:\/\/demensdeum.com\/blog\/ru\/wp-json\/wp\/v2\/posts\/3373\/revisions\/3866"}],"wp:attachment":[{"href":"https:\/\/demensdeum.com\/blog\/ru\/wp-json\/wp\/v2\/media?parent=3373"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/demensdeum.com\/blog\/ru\/wp-json\/wp\/v2\/categories?post=3373"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/demensdeum.com\/blog\/ru\/wp-json\/wp\/v2\/tags?post=3373"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}