{"id":3394,"date":"2022-08-08T20:34:13","date_gmt":"2022-08-08T17:34:13","guid":{"rendered":"https:\/\/demensdeum.com\/blog\/?p=3394"},"modified":"2024-12-16T22:32:17","modified_gmt":"2024-12-16T19:32:17","slug":"radix-sort","status":"publish","type":"post","link":"https:\/\/demensdeum.com\/blog\/ru\/2022\/08\/08\/radix-sort\/","title":{"rendered":"Radixsort"},"content":{"rendered":"<p>Radix Sort \u2013 \u043f\u043e\u0440\u0430\u0437\u0440\u044f\u0434\u043d\u0430\u044f \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0430. \u0410\u043b\u0433\u043e\u0440\u0438\u0442\u043c \u0441\u0445\u043e\u0436 \u0441 \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u043e\u0439 \u043f\u043e\u0434\u0441\u0447\u0435\u0442\u043e\u043c \u0442\u0435\u043c, \u0447\u0442\u043e \u043e\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0441\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u043e\u0432, \u0432\u043c\u0435\u0441\u0442\u043e \u044d\u0442\u043e\u0433\u043e \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u044b *\u043f\u043e\u0441\u0438\u043c\u0432\u043e\u043b\u044c\u043d\u043e* \u0433\u0440\u0443\u043f\u043f\u0438\u0440\u0443\u044e\u0442\u0441\u044f \u0432 *\u0432\u0435\u0434\u0440\u0430* (buckets), \u0432\u0435\u0434\u0440\u043e \u0432\u044b\u0431\u0438\u0440\u0430\u0435\u0442\u0441\u044f \u043f\u043e \u0438\u043d\u0434\u0435\u043a\u0441\u0443 \u0442\u0435\u043a\u0443\u0449\u0435\u0433\u043e \u0447\u0438\u0441\u043b\u0430-\u0441\u0438\u043c\u0432\u043e\u043b\u0430. \u0412\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f \u0441\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c &#8211; O(nd).<\/p>\n<p>\u0420\u0430\u0431\u043e\u0442\u0430\u0435\u0442 \u043f\u0440\u0438\u043c\u0435\u0440\u043d\u043e \u0442\u0430\u043a:<\/p>\n<ul>\n<li>\u041d\u0430 \u0432\u0445\u043e\u0434 \u043f\u043e\u043b\u0443\u0447\u0438\u043c \u0447\u0438\u0441\u043b\u0430 6, 12, 44, 9<\/li>\n<li>\u0421\u043e\u0437\u0434\u0430\u0434\u0438\u043c 10 \u0432\u0435\u0434\u0435\u0440 \u0441\u043f\u0438\u0441\u043a\u043e\u0432 (0-9), \u0432 \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0431\u0443\u0434\u0435\u043c \u043f\u043e\u0440\u0430\u0437\u0440\u044f\u0434\u043d\u043e \u0441\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u0442\u044c\/\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u0447\u0438\u0441\u043b\u0430.<\/li>\n<\/ul>\n<p>\u0414\u0430\u043b\u0435\u0435:<\/p>\n<ol>\n<li>\u0417\u0430\u043f\u0443\u0441\u043a\u0430\u0435\u043c \u0446\u0438\u043a\u043b \u0441\u043e \u0441\u0447\u0435\u0442\u0447\u0438\u043a\u043e\u043c i \u0434\u043e \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u0430 \u0441\u0438\u043c\u0432\u043e\u043b\u043e\u0432 \u0432 \u0447\u0438\u0441\u043b\u0435<\/li>\n<li>\u041f\u043e \u0438\u043d\u0434\u0435\u043a\u0441\u0443 i \u0441\u043f\u0440\u0430\u0432\u0430 \u043d\u0430\u043b\u0435\u0432\u043e \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c \u043e\u0434\u0438\u043d \u0441\u0438\u043c\u0432\u043e\u043b \u0434\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430, \u0435\u0441\u043b\u0438 \u0441\u0438\u043c\u0432\u043e\u043b\u0430 \u043d\u0435\u0442, \u0442\u043e \u0441\u0447\u0438\u0442\u0430\u0435\u043c \u0447\u0442\u043e \u044d\u0442\u043e \u043d\u043e\u043b\u044c<\/li>\n<li>\u0421\u0438\u043c\u0432\u043e\u043b \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u044b\u0432\u0430\u0435\u043c \u0432 \u0447\u0438\u0441\u043b\u043e<\/li>\n<li>\u0412\u044b\u0431\u0438\u0440\u0430\u0435\u043c \u0432\u0435\u0434\u0440\u043e \u043f\u043e \u0438\u043d\u0434\u0435\u043a\u0441\u0443 \u2013 \u0447\u0438\u0441\u043b\u0443, \u043a\u043b\u0430\u0434\u0435\u043c \u0442\u0443\u0434\u0430 \u0447\u0438\u0441\u043b\u043e \u043f\u043e\u043b\u043d\u043e\u0441\u0442\u044c\u044e<\/li>\n<li>\u041f\u043e\u0441\u043b\u0435 \u043e\u043a\u043e\u043d\u0447\u0430\u043d\u0438\u044f \u043f\u0435\u0440\u0435\u0431\u043e\u0440\u0430 \u0447\u0438\u0441\u0435\u043b, \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u044b\u0432\u0430\u0435\u043c \u0432\u0441\u0435 \u0432\u0435\u0434\u0440\u0430 \u043d\u0430\u0437\u0430\u0434 \u0432 \u0441\u043f\u0438\u0441\u043e\u043a \u0447\u0438\u0441\u0435\u043b<\/li>\n<li>\u041f\u043e\u043b\u0443\u0447\u0430\u0435\u043c \u0447\u0438\u0441\u043b\u0430 \u043e\u0442\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u044b\u0435 \u043f\u043e \u0440\u0430\u0437\u0440\u044f\u0434\u0443<\/li>\n<li>\u041f\u043e\u0432\u0442\u043e\u0440\u044f\u0435\u043c \u043f\u043e\u043a\u0430 \u043d\u0435 \u043a\u043e\u043d\u0447\u0430\u0442\u0441\u044f \u0432\u0441\u0435 \u0440\u0430\u0437\u0440\u044f\u0434\u044b<\/li>\n<\/ol>\n<p>\u041f\u0440\u0438\u043c\u0435\u0440 Radix Sort \u043d\u0430 Scala:<\/p>\n<div class=\"hcb_wrap\">\n<div class=\"hcb_wrap\">\n<pre class=\"prism line-numbers lang-unknown\" data-lang=\"unknown\"><code>\nimport scala.util.Random.nextInt\n\n\n\nobject RadixSort {\n\n    def main(args: Array[String]) = {\n\n        var maxNumber = 200\n\n        var numbersCount = 30\n\n        var maxLength = maxNumber.toString.length() - 1\n\n\n\n        var referenceNumbers = LazyList.continually(nextInt(maxNumber + 1)).take(numbersCount).toList\n\n        var numbers = referenceNumbers\n\n        \n\n        var buckets = List.fill(10)(ListBuffer[Int]())\n\n\n\n        for( i &lt;- 0 to maxLength) { numbers.foreach( number =&gt; {\n\n                    var numberString = number.toString\n\n                    if (numberString.length() &gt; i) {\n\n                        var index = numberString.length() - i - 1\n\n                        var character = numberString.charAt(index).toString\n\n                        var characterInteger = character.toInt  \n\n                        buckets.apply(characterInteger) += number\n\n                    }\n\n                    else {\n\n                        buckets.apply(0) += number\n\n                    }\n\n                }\n\n            )\n\n            numbers = buckets.flatten\n\n            buckets.foreach(x =&gt; x.clear())\n\n        }\n\n        println(referenceNumbers)\n\n        println(numbers)\n\n        println(s\"Validation result: ${numbers == referenceNumbers.sorted}\")\n\n    }\n\n}\n\n<\/code><\/pre>\n<\/div>\n<\/div>\n<p>\u0410\u043b\u0433\u043e\u0440\u0438\u0442\u043c \u0442\u0430\u043a\u0436\u0435 \u0438\u043c\u0435\u0435\u0442 \u0432\u0435\u0440\u0441\u0438\u044e \u0434\u043b\u044f \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u0438\u044f, \u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440 \u043d\u0430 GPU; \u0442\u0430\u043a\u0436\u0435 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u0432\u0430\u0440\u0438\u0430\u043d\u0442 \u0431\u0438\u0442\u043e\u0432\u043e\u0439 \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0438, \u0447\u0442\u043e \u043d\u0430\u0432\u0435\u0440\u043d\u043e\u0435,<strong> \u043e\u0447\u0435\u043d\u044c \u0438\u043d\u0442\u0435\u0440\u0435\u0441\u043d\u043e \u0438 \u043f\u043e\u0438\u0441\u0442\u0438\u043d\u0435 \u0437\u0430\u0445\u0432\u0430\u0442\u044b\u0432\u0430\u0435\u0442 \u0434\u0443\u0445!<\/strong><\/p>\n<h3>\u0421\u0441\u044b\u043b\u043a\u0438<\/h3>\n<p><a href=\"https:\/\/gitlab.com\/demensdeum\/algorithms\/-\/blob\/master\/sortAlgorithms\/radixSort\/radixSort.scala\" target=\"_blank\" rel=\"noopener\">https:\/\/gitlab.com\/demensdeum\/algorithms\/-\/blob\/master\/sortAlgorithms\/radixSort\/radixSort.scala<\/a><\/p>\n<h3>\u0418\u0441\u0442\u043e\u0447\u043d\u0438\u043a\u0438<\/h3>\n<p><a href=\"https:\/\/ru.wikipedia.org\/wiki\/%D0%9F%D0%BE%D1%80%D0%B0%D0%B7%D1%80%D1%8F%D0%B4%D0%BD%D0%B0%D1%8F_%D1%81%D0%BE%D1%80%D1%82%D0%B8%D1%80%D0%BE%D0%B2%D0%BA%D0%B0\" target=\"_blank\" rel=\"noopener\">https:\/\/ru.wikipedia.org\/wiki\/%D0%9F%D0%BE%D1%80%D0%B0%D0%B7%D1%80%D1%8F%D0%B4%D0%BD%D0%B0%D1%8F_%D1%81%D0%BE%D1%80%D1%82%D0%B8%D1%80%D0%BE%D0%B2%D0%BA%D0%B0<\/a><br \/>\n<a href=\"https:\/\/www.geeksforgeeks.org\/radix-sort\/\" target=\"_blank\" rel=\"noopener\">https:\/\/www.geeksforgeeks.org\/radix-sort\/<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=toAlAJKojos\" target=\"_blank\" rel=\"noopener\">https:\/\/www.youtube.com\/watch?v=toAlAJKojos<\/a><\/p>\n<p><a href=\"https:\/\/github.com\/gyatskov\/radix-sort\" target=\"_blank\" rel=\"noopener\">https:\/\/github.com\/gyatskov\/radix-sort<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Radix Sort \u2013 \u043f\u043e\u0440\u0430\u0437\u0440\u044f\u0434\u043d\u0430\u044f \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0430. \u0410\u043b\u0433\u043e\u0440\u0438\u0442\u043c \u0441\u0445\u043e\u0436 \u0441 \u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u043e\u0439 \u043f\u043e\u0434\u0441\u0447\u0435\u0442\u043e\u043c \u0442\u0435\u043c, \u0447\u0442\u043e \u043e\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0441\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u043e\u0432, \u0432\u043c\u0435\u0441\u0442\u043e \u044d\u0442\u043e\u0433\u043e \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u044b *\u043f\u043e\u0441\u0438\u043c\u0432\u043e\u043b\u044c\u043d\u043e* \u0433\u0440\u0443\u043f\u043f\u0438\u0440\u0443\u044e\u0442\u0441\u044f \u0432 *\u0432\u0435\u0434\u0440\u0430* (buckets), \u0432\u0435\u0434\u0440\u043e \u0432\u044b\u0431\u0438\u0440\u0430\u0435\u0442\u0441\u044f \u043f\u043e \u0438\u043d\u0434\u0435\u043a\u0441\u0443 \u0442\u0435\u043a\u0443\u0449\u0435\u0433\u043e \u0447\u0438\u0441\u043b\u0430-\u0441\u0438\u043c\u0432\u043e\u043b\u0430. \u0412\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f \u0441\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c &#8211; O(nd). \u0420\u0430\u0431\u043e\u0442\u0430\u0435\u0442 \u043f\u0440\u0438\u043c\u0435\u0440\u043d\u043e \u0442\u0430\u043a: \u041d\u0430 \u0432\u0445\u043e\u0434 \u043f\u043e\u043b\u0443\u0447\u0438\u043c \u0447\u0438\u0441\u043b\u0430 6, 12, 44, 9 \u0421\u043e\u0437\u0434\u0430\u0434\u0438\u043c 10 \u0432\u0435\u0434\u0435\u0440 \u0441\u043f\u0438\u0441\u043a\u043e\u0432 (0-9), \u0432 \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0431\u0443\u0434\u0435\u043c \u043f\u043e\u0440\u0430\u0437\u0440\u044f\u0434\u043d\u043e \u0441\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u0442\u044c\/\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u0447\u0438\u0441\u043b\u0430.<a class=\"more-link\" href=\"https:\/\/demensdeum.com\/blog\/ru\/2022\/08\/08\/radix-sort\/\">Continue reading <span class=\"screen-reader-text\">&#8220;Radixsort&#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":[131,205,190],"class_list":["post-3394","post","type-post","status-publish","format-standard","hentry","category-techie","category-tutorials","tag-algorithms","tag-radix-sort","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\/3394","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=3394"}],"version-history":[{"count":8,"href":"https:\/\/demensdeum.com\/blog\/ru\/wp-json\/wp\/v2\/posts\/3394\/revisions"}],"predecessor-version":[{"id":3864,"href":"https:\/\/demensdeum.com\/blog\/ru\/wp-json\/wp\/v2\/posts\/3394\/revisions\/3864"}],"wp:attachment":[{"href":"https:\/\/demensdeum.com\/blog\/ru\/wp-json\/wp\/v2\/media?parent=3394"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/demensdeum.com\/blog\/ru\/wp-json\/wp\/v2\/categories?post=3394"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/demensdeum.com\/blog\/ru\/wp-json\/wp\/v2\/tags?post=3394"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}