{"id":2469,"date":"2020-01-01T15:03:07","date_gmt":"2020-01-01T12:03:07","guid":{"rendered":"http:\/\/demensdeum.com\/blog\/?p=2469"},"modified":"2024-12-16T22:32:30","modified_gmt":"2024-12-16T19:32:30","slug":"longest-common-substring","status":"publish","type":"post","link":"https:\/\/demensdeum.com\/blog\/ja\/2020\/01\/01\/longest-common-substring\/","title":{"rendered":"\u6700\u9577\u306e\u5171\u901a\u90e8\u5206\u6587\u5b57\u5217"},"content":{"rendered":"<p>\u3053\u306e\u6295\u7a3f\u3067\u306f\u3001\u6700\u5927\u5171\u901a\u90e8\u5206\u6587\u5b57\u5217\u554f\u984c\u3092\u89e3\u6c7a\u3059\u308b\u305f\u3081\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u6697\u53f7\u5316\u3055\u308c\u305f\u30d0\u30a4\u30ca\u30ea \u30c7\u30fc\u30bf\u3092\u5fa9\u53f7\u5316\u3057\u3088\u3046\u3068\u3057\u3066\u3044\u308b\u3068\u3057\u307e\u3059\u3002\u307e\u305a\u3001\u6700\u5927\u306e\u90e8\u5206\u6587\u5b57\u5217\u3092\u691c\u7d22\u3057\u3066\u5171\u901a\u306e\u30d1\u30bf\u30fc\u30f3\u3092\u898b\u3064\u3051\u3066\u307f\u307e\u3057\u3087\u3046\u3002<br \/>\u5165\u529b\u6587\u5b57\u5217\u306e\u4f8b:<br \/><strong>adasDATAHEADER??jpjjwerthhkjbcvkDATAHEADER??kkasdf<\/strong><br \/>2 \u56de\u7e70\u308a\u8fd4\u3055\u308c\u308b\u6587\u5b57\u5217\u3092\u63a2\u3057\u3066\u3044\u307e\u3059\u3002<br \/><strong>\u30c7\u30fc\u30bf\u30d8\u30c3\u30c0\u30fc??<\/strong><\/p>\n<h3>\u30d7\u30ec\u30d5\u30a3\u30c3\u30af\u30b9<\/h3>\n<p>\u307e\u305a\u30012 \u3064\u306e\u6587\u5b57\u5217\u306e\u63a5\u982d\u8f9e\u3092\u6bd4\u8f03\u3059\u308b\u30e1\u30bd\u30c3\u30c9\u3092\u4f5c\u6210\u3057\u307e\u3057\u3087\u3046\u3002\u5de6\u5074\u306e\u63a5\u982d\u8f9e\u306e\u6587\u5b57\u304c\u53f3\u5074\u306e\u63a5\u982d\u8f9e\u306e\u6587\u5b57\u3068\u7b49\u3057\u3044\u7d50\u679c\u306e\u6587\u5b57\u5217\u3092\u8fd4\u3057\u307e\u3059\u3002<br \/>\u305f\u3068\u3048\u3070\u3001\u884c\u306e\u5834\u5408\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<div class=\"hcb_wrap\">\n<pre class=\"prism line-numbers lang-unknown\" data-lang=\"unknown\"><code>        val lhs = \"asdfWUKI\"\n        val rhs = \"asdfIKUW\"\n\n<\/code><\/pre>\n<\/div>\n<p>\u7d50\u679c\u6587\u5b57\u5217 &#8211;\u7a7a\u81ea<br \/>Kotlin \u306e\u4f8b:<\/p>\n<div class=\"hcb_wrap\">\n<pre class=\"prism line-numbers lang-unknown\" data-lang=\"unknown\"><code>fun longestPrefix(lhs: String, rhs: String): String {\n        val maximalLength = min(lhs.length-1, rhs.length -1)\n        for (i in 0..maximalLength) {\n            val xChar = lhs.take(i)\n            val yChar = rhs.take(i)\n                if (xChar != yChar) {\n                    return lhs.substring(0, i-1)\n                }\n        }\n        return lhs.substring(0,maximalLength)\n}\n\n<\/code><\/pre>\n<\/div>\n<h3>\u30d6\u30eb\u30fc\u30c8\u30d5\u30a9\u30fc\u30b9<\/h3>\n<p>\u7269\u4e8b\u304c\u3046\u307e\u304f\u3044\u304b\u306a\u3044\u3068\u304d\u306f\u3001\u5f37\u5f15\u306a\u624b\u6bb5\u306b\u983c\u308b\u3079\u304d\u3067\u3059\u3002 longestPrefix \u30e1\u30bd\u30c3\u30c9\u3092\u4f7f\u7528\u3057\u3066\u3001\u6587\u5b57\u5217\u3092 2 \u3064\u306e\u30eb\u30fc\u30d7\u3067\u51e6\u7406\u3057\u307e\u3059\u3002\u6700\u521d\u306e\u30eb\u30fc\u30d7\u3067\u306f i \u304b\u3089\u6700\u5f8c\u307e\u3067\u306e\u6587\u5b57\u5217\u3092\u53d6\u5f97\u3057\u30012 \u756a\u76ee\u306e\u30eb\u30fc\u30d7\u3067\u306f i + 1 \u304b\u3089\u6700\u5f8c\u307e\u3067\u306e\u6587\u5b57\u5217\u3092\u6e21\u3057\u3066\u3001\u6700\u5927\u306e\u30d7\u30ec\u30d5\u30a3\u30c3\u30af\u30b9\u3092\u691c\u7d22\u3057\u307e\u3059\u3002\u3053\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u6642\u9593\u8a08\u7b97\u91cf\u306f\u7d04 O(n^2) ~ O(n*^3) \u3067\u3059\u3002<br \/>Kotlin \u306e\u4f8b:<\/p>\n<div class=\"hcb_wrap\">\n<pre class=\"prism line-numbers lang-unknown\" data-lang=\"unknown\"><code>fun searchLongestRepeatedSubstring(searchString: String): String {\n        var longestRepeatedSubstring = \"\"\n        for (x in 0..searchString.length-1) {\n            val lhs = searchString.substring(x)\n            for (y in x+1..searchString.length-1) {\n                val rhs = searchString.substring(y)\n                val longestPrefix = longestPrefix(lhs, rhs)\n                if (longestRepeatedSubstring.length < longestPrefix.length) {\n                    longestRepeatedSubstring = longestPrefix\n                }\n            }\n        }\n        return longestRepeatedSubstring\n}\n\n<\/code><\/pre>\n<\/div>\n<h3>\u30b5\u30d5\u30a3\u30c3\u30af\u30b9\u914d\u5217<\/h3>\n<p>\u3088\u308a\u6d17\u7df4\u3055\u308c\u305f\u30bd\u30ea\u30e5\u30fc\u30b7\u30e7\u30f3\u306b\u306f\u3001\u300cSuffix Array\u300d\u3068\u547c\u3070\u308c\u308b\u30c7\u30fc\u30bf\u69cb\u9020\u3068\u3044\u3046\u30c4\u30fc\u30eb\u304c\u5fc5\u8981\u3067\u3059\u3002\u3053\u306e\u30c7\u30fc\u30bf\u69cb\u9020\u306f\u3001\u30eb\u30fc\u30d7\u5185\u306b\u57cb\u3081\u3089\u308c\u305f\u90e8\u5206\u6587\u5b57\u5217\u306e\u914d\u5217\u3067\u3042\u308a\u3001\u5404\u90e8\u5206\u6587\u5b57\u5217\u306f\u884c\u306e\u6b21\u306e\u6587\u5b57\u304b\u3089\u59cb\u307e\u308a\u3001\u6700\u5f8c\u307e\u3067\u7d9a\u304d\u307e\u3059\u3002<br \/>\u305f\u3068\u3048\u3070\u3001\u6b21\u306e\u884c\u306e\u5834\u5408:<\/p>\n<div class=\"hcb_wrap\">\n<pre class=\"prism line-numbers lang-unknown\" data-lang=\"unknown\"><code>adasDATAHEADER??\n\n<\/code><\/pre>\n<\/div>\n<p>\u30b5\u30d5\u30a3\u30c3\u30af\u30b9\u914d\u5217\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059:<\/p>\n<div class=\"hcb_wrap\">\n<pre class=\"prism line-numbers lang-unknown\" data-lang=\"unknown\"><code>adasDATAHEADER??\ndasDATAHEADER??\nasDATAHEADER??\nsDATAHEADER??\nDATAHEADER??\nATAHEADER??\nTAHEADER??\nAHEADER??\nHEADER??\nEADER??\nADER??\nDER??\nER??\nR??\n??\n?\n\n<\/code><\/pre>\n<\/div>\n<h3>\u4e26\u3079\u66ff\u3048\u308b\u3053\u3068\u3067\u89e3\u6c7a\u3057\u307e\u3059<\/h3>\n<p>\u30b5\u30d5\u30a3\u30c3\u30af\u30b9\u914d\u5217\u3092\u30bd\u30fc\u30c8\u3057\u3066\u304b\u3089\u3001\u73fe\u5728\u306e\u8981\u7d20\u304c\u5de6\u5074 (lhs) \u306b\u3042\u308a\u3001\u6b21\u306e\u8981\u7d20\u304c\u53f3\u5074 (rhs) \u306b\u3042\u308b\u30eb\u30fc\u30d7\u5185\u306e\u3059\u3079\u3066\u306e\u8981\u7d20\u3092\u8abf\u3079\u3066\u3001longestPrefix \u3092\u4f7f\u7528\u3057\u3066\u6700\u9577\u306e\u30d7\u30ec\u30d5\u30a3\u30c3\u30af\u30b9\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\u65b9\u6cd5<br \/> \u306b\u3064\u3044\u3066\u3002Kotlin \u306e\u4f8b:<\/p>\n<div class=\"hcb_wrap\">\n<pre class=\"prism line-numbers lang-unknown\" data-lang=\"unknown\"><code>fun searchLongestRepeatedSubstring(searchString: String): String {\n    val suffixTree = suffixArray(searchString)\n    val sortedSuffixTree = suffixTree.sorted()\n\n    var longestRepeatedSubstring = \"\"\n    for (i in 0..sortedSuffixTree.count() - 2) {\n        val lhs = sortedSuffixTree[i]\n        val rhs = sortedSuffixTree[i+1]\n        val longestPrefix = longestPrefix(lhs, rhs)\n        if (longestRepeatedSubstring.length < longestPrefix.length) {\n            longestRepeatedSubstring = longestPrefix\n        }\n    }\n    return longestRepeatedSubstring\n}\n\n<\/code><\/pre>\n<\/div>\n<p>\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u6642\u9593\u8a08\u7b97\u91cf\u306f O(N log N) \u3067\u3042\u308a\u3001\u5358\u7d14\u306a\u89e3\u6c7a\u7b56\u3088\u308a\u3082\u306f\u308b\u304b\u306b\u512a\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n<h3>\u30bd\u30fc\u30b9<\/h3>\n<p><a href=\"https:\/\/en.wikipedia.org\/wiki\/Longest_common_substring_problem\" target=\"_blank\" rel=\"noopener\">https:\/\/en.wikipedia.org\/wiki\/Longest_common_substring_problem<\/a> <\/p>\n<h3>\u30bd\u30fc\u30b9\u30b3\u30fc\u30c9<\/h3>\n<p><a href=\"https:\/\/gitlab.com\/demensdeum\/algorithms\" target=\"_blank\" rel=\"noopener\">https:\/\/gitlab.com\/demensdeum\/algorithms<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u6295\u7a3f\u3067\u306f\u3001\u6700\u5927\u5171\u901a\u90e8\u5206\u6587\u5b57\u5217\u554f\u984c\u3092\u89e3\u6c7a\u3059\u308b\u305f\u3081\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u6697\u53f7\u5316\u3055\u308c\u305f\u30d0\u30a4\u30ca\u30ea \u30c7\u30fc\u30bf\u3092\u5fa9\u53f7\u5316\u3057\u3088\u3046\u3068\u3057\u3066\u3044\u308b\u3068\u3057\u307e\u3059\u3002\u307e\u305a\u3001\u6700\u5927\u306e\u90e8\u5206\u6587\u5b57\u5217\u3092\u691c\u7d22\u3057\u3066\u5171\u901a\u306e\u30d1\u30bf\u30fc\u30f3\u3092\u898b\u3064\u3051\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u5165\u529b\u6587\u5b57\u5217\u306e\u4f8b:adasDATAHEADER??jpjjwerthhkjbcvkDATAHEADER??kkasdf2 \u56de\u7e70\u308a\u8fd4\u3055\u308c\u308b\u6587\u5b57\u5217\u3092\u63a2\u3057\u3066\u3044\u307e\u3059\u3002\u30c7\u30fc\u30bf\u30d8\u30c3\u30c0\u30fc?? \u30d7\u30ec\u30d5\u30a3\u30c3\u30af\u30b9 \u307e\u305a\u30012 \u3064\u306e\u6587\u5b57\u5217\u306e\u63a5\u982d\u8f9e\u3092\u6bd4\u8f03\u3059\u308b\u30e1\u30bd\u30c3\u30c9\u3092\u4f5c\u6210\u3057\u307e\u3057\u3087\u3046\u3002\u5de6\u5074\u306e\u63a5\u982d\u8f9e\u306e\u6587\u5b57\u304c\u53f3\u5074\u306e\u63a5\u982d\u8f9e\u306e\u6587\u5b57\u3068\u7b49\u3057\u3044\u7d50\u679c\u306e\u6587\u5b57\u5217\u3092\u8fd4\u3057\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u884c\u306e\u5834\u5408\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 val lhs = &#8220;asdfWUKI&#8221; val rhs = &#8220;asdfIKUW&#8221; \u7d50\u679c\u6587\u5b57\u5217 &#8211;\u7a7a\u81eaKotlin \u306e\u4f8b: fun longestPrefix(lhs: String, rhs: String): String { val maximalLength = min(lhs.length-1, rhs.length -1) for (i in 0..maximalLength) { val xChar = lhs.take(i) val yChar = rhs.take(i) if (xChar != yChar) { return lhs.substring(0, i-1) } } return lhs.substring(0,maximalLength)<a class=\"more-link\" href=\"https:\/\/demensdeum.com\/blog\/ja\/2020\/01\/01\/longest-common-substring\/\">Continue reading <span class=\"screen-reader-text\">&#8220;\u6700\u9577\u306e\u5171\u901a\u90e8\u5206\u6587\u5b57\u5217&#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":[131,140,141],"class_list":["post-2469","post","type-post","status-publish","format-standard","hentry","category-techie","category-tutorials","tag-algorithms","tag-lcs","tag-suffix-array","entry"],"translation":{"provider":"WPGlobus","version":"3.0.2","language":"ja","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\/ja\/wp-json\/wp\/v2\/posts\/2469","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/demensdeum.com\/blog\/ja\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/demensdeum.com\/blog\/ja\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/demensdeum.com\/blog\/ja\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/demensdeum.com\/blog\/ja\/wp-json\/wp\/v2\/comments?post=2469"}],"version-history":[{"count":16,"href":"https:\/\/demensdeum.com\/blog\/ja\/wp-json\/wp\/v2\/posts\/2469\/revisions"}],"predecessor-version":[{"id":3926,"href":"https:\/\/demensdeum.com\/blog\/ja\/wp-json\/wp\/v2\/posts\/2469\/revisions\/3926"}],"wp:attachment":[{"href":"https:\/\/demensdeum.com\/blog\/ja\/wp-json\/wp\/v2\/media?parent=2469"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/demensdeum.com\/blog\/ja\/wp-json\/wp\/v2\/categories?post=2469"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/demensdeum.com\/blog\/ja\/wp-json\/wp\/v2\/tags?post=2469"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}