{"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\/ja\/2022\/08\/08\/heapsort\/","title":{"rendered":"\u30d2\u30fc\u30d7\u30bd\u30fc\u30c8"},"content":{"rendered":"<p>\u30d2\u30fc\u30d7\u30bd\u30fc\u30c8 \u2013 \u30d4\u30e9\u30df\u30c3\u30c9\u30bd\u30fc\u30c8\u3002\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u6642\u9593\u8a08\u7b97\u91cf &#8211; O(n log n)\u3001\u901f\u3044\u3067\u3059\u3088\u306d?\u79c1\u306f\u3053\u308c\u3092\u3001\u843d\u3061\u3066\u304f\u308b\u5c0f\u77f3\u306e\u9078\u5225\u3068\u547c\u3093\u3067\u3044\u307e\u3059\u3002\u3053\u308c\u3092\u8aac\u660e\u3059\u308b\u6700\u3082\u7c21\u5358\u306a\u65b9\u6cd5\u306f\u8996\u899a\u7684\u306b\u8aac\u660e\u3059\u308b\u3053\u3068\u3060\u3068\u601d\u3044\u307e\u3059\u3002<\/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>\u5165\u529b\u306f\u3001\u6b21\u306e\u3088\u3046\u306a\u6570\u5024\u306e\u30ea\u30b9\u30c8\u3067\u3059\u3002<br \/>\n5\u30010\u30017\u30012\u30013\u30019\u30014<\/p>\n<p>\u5de6\u304b\u3089\u53f3\u306b\u3001\u30c7\u30fc\u30bf\u69cb\u9020\u3001\u3064\u307e\u308a\u30d0\u30a4\u30ca\u30ea \u30c4\u30ea\u30fc\u3001\u307e\u305f\u306f\u79c1\u304c\u305d\u308c\u3092\u547c\u3093\u3067\u3044\u308b &#8211; \u304c\u4f5c\u6210\u3055\u308c\u307e\u3059\u3002\u30d4\u30e9\u30df\u30c3\u30c9\u3002\u30d4\u30e9\u30df\u30c3\u30c9\u8981\u7d20\u306b\u306f\u6700\u5927 2 \u3064\u306e\u5b50\u8981\u7d20\u3092\u542b\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u304c\u3001\u6700\u4e0a\u4f4d\u306e\u8981\u7d20\u306f 1 \u3064\u3060\u3051\u3067\u3059\u3002<\/p>\n<p>\u30d0\u30a4\u30ca\u30ea \u30c4\u30ea\u30fc\u3092\u4f5c\u6210\u3057\u307e\u3057\u3087\u3046:<br \/>\n\u2800\u28005<br \/>\n\u28000\u28007<br \/>\n2 3 9 4<\/p>\n<p>\u30d4\u30e9\u30df\u30c3\u30c9\u3092\u9577\u3044\u9593\u898b\u3066\u307f\u308b\u3068\u3001\u3053\u308c\u3089\u306f\u914d\u5217\u304b\u3089\u306e\u5358\u306a\u308b\u6570\u5024\u3067\u3042\u308a\u3001\u6b21\u3005\u306b\u6765\u3066\u3001\u5404\u30d5\u30ed\u30a2\u306e\u8981\u7d20\u306e\u6570\u304c 2 \u500d\u306b\u306a\u3063\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\u6b21\u306b\u3001\u697d\u3057\u3044\u4f5c\u696d\u304c\u59cb\u307e\u308a\u307e\u3059\u3002\u5c0f\u77f3\u3092\u843d\u3068\u3059\u65b9\u6cd5 (heapify) \u3092\u4f7f\u7528\u3057\u3066\u3001\u30d4\u30e9\u30df\u30c3\u30c9\u3092\u4e0b\u304b\u3089\u4e0a\u306b\u4e26\u3079\u66ff\u3048\u307e\u3057\u3087\u3046\u3002\u6700\u7d42\u968e\uff082 3 9 4\uff09\u304b\u3089\u4e26\u3079\u66ff\u3048\u3092\u958b\u59cb\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u304c\u3001\u610f\u5473\u304c\u3042\u308a\u307e\u305b\u3093\u3002\u4ee5\u4e0b\u306b\u8ee2\u843d\u3059\u308b\u53ef\u80fd\u6027\u306e\u3042\u308b\u5e8a\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6700\u5f8c\u304b\u3089 2 \u756a\u76ee\u306e\u30d5\u30ed\u30a2 (0 7) \u304b\u3089\u8981\u7d20\u3092\u30c9\u30ed\u30c3\u30d7\u3057\u59cb\u3081\u307e\u3059\u3002<br \/>\n\u2800\u28005<br \/>\n\u28000\u2800<strong>7<\/strong><br \/>\n2 3 9 4<\/p>\n<p>\u6700\u521d\u306b\u8a72\u5f53\u3059\u308b\u8981\u7d20\u304c\u53f3\u304b\u3089\u9078\u629e\u3055\u308c\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u306f 7 \u3067\u3059\u3002\u6b21\u306b\u3001\u305d\u306e\u4e0b\u306b\u3042\u308b\u3082\u306e\u3092\u8abf\u3079\u307e\u3059\u3002\u305d\u306e\u4e0b\u306b\u306f 9 \u3068 4 \u304c\u3042\u308a\u30019 \u306f 4 \u3088\u308a\u5927\u304d\u304f\u30019 \u306f\u3088\u308a\u5927\u304d\u3044\u3067\u3059\u3002\u30bb\u30d6\u30f3\uff01 7 \u3092 9 \u306b\u843d\u3068\u3057\u30019 \u3092\u6301\u3061\u4e0a\u3052\u3066 7 \u306e\u4f4d\u7f6e\u306b\u7f6e\u304d\u307e\u3059\u3002<br \/>\n\u2800\u28005<br \/>\n\u28000\u28009<br \/>\n2 3 <strong>7<\/strong> 4<\/p>\n<p>\u6b21\u306b\u30017 \u306b\u306f\u4e0b\u306b\u843d\u3061\u308b\u3068\u3053\u308d\u304c\u306a\u3044\u3053\u3068\u304c\u308f\u304b\u308a\u3001\u5de6\u5074\u306e\u6700\u5f8c\u304b\u3089 2 \u756a\u76ee\u306e\u968e\u306b\u3042\u308b\u756a\u53f7 0 \u306b\u9032\u307f\u307e\u3059\u3002<br \/>\n\u2800\u28005<br \/>\n\u2800<strong>0<\/strong>\u28009<br \/>\n2 3 7 4<\/p>\n<p>\u305d\u306e\u4e0b\u306b\u3042\u308b\u3082\u306e\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046 &#8211; 2 \u3068 3\u30012 \u306f 3 \u3088\u308a\u5c0f\u3055\u304f\u30013 \u306f 0 \u3088\u308a\u5927\u304d\u3044\u306e\u3067\u30010 \u3068 3 \u3092\u4ea4\u63db\u3057\u307e\u3059\u3002<br \/>\n\u2800\u28005<br \/>\n\u28003\u28009<br \/>\n2 <strong>0<\/strong> 7 4<\/p>\n<p>\u30d5\u30ed\u30a2\u306e\u7aef\u306b\u5230\u9054\u3057\u305f\u3089\u3001\u4e0a\u306e\u30d5\u30ed\u30a2\u306b\u884c\u304d\u3001\u53ef\u80fd\u3067\u3042\u308c\u3070\u305d\u3053\u306b\u3059\u3079\u3066\u3092\u843d\u3068\u3057\u3066\u304f\u3060\u3055\u3044\u3002<br \/>\n\u7d50\u679c\u306f\u30c7\u30fc\u200b\u200b\u30bf\u69cb\u9020\u3001\u3064\u307e\u308a\u30d2\u30fc\u30d7\u3001\u3064\u307e\u308a\u6700\u5927\u30d2\u30fc\u30d7\u306b\u306a\u308a\u307e\u3059\u3002\u4e00\u756a\u4e0a\u306b\u3042\u308b\u306e\u306f\u6700\u5927\u306e\u8981\u7d20\u3067\u3059\u3002<br \/>\n\u2800\u2800<strong>9<\/strong><br \/>\n\u28003\u28007<br \/>\n2 0 5 4<\/p>\n<p>\u3053\u308c\u3092\u914d\u5217\u8868\u73fe\u306b\u623b\u3059\u3068\u3001\u30ea\u30b9\u30c8\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<br \/>\n[<strong>9<\/strong>\u30013\u30017\u30012\u30010\u30015\u30014]<\/p>\n<p>\u3053\u306e\u3053\u3068\u304b\u3089\u3001\u6700\u521d\u3068\u6700\u5f8c\u306e\u8981\u7d20\u3092\u4ea4\u63db\u3059\u308b\u3053\u3068\u3067\u3001\u6700\u7d42\u7684\u306a\u4e26\u3079\u66ff\u3048\u4f4d\u7f6e\u306e\u6700\u521d\u306e\u6570\u5024\u304c\u5f97\u3089\u308c\u308b\u3001\u3064\u307e\u308a 9 \u304c\u4e26\u3079\u66ff\u3048\u3089\u308c\u305f\u30ea\u30b9\u30c8\u306e\u6700\u5f8c\u306b\u3042\u308b\u306f\u305a\u3067\u3042\u308b\u3068\u7d50\u8ad6\u4ed8\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u3001\u5834\u6240\u3092\u5165\u308c\u66ff\u3048\u307e\u3059\u3002<br \/>\n[4\u30013\u30017\u30012\u30010\u30015\u3001<strong>9<\/strong>]<\/p>\n<p>\u4e8c\u5206\u6728\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046:<br \/>\n\u2800\u28004<br \/>\n\u28003\u28007<br \/>\n2 0 5 9<\/p>\n<p>\u7d50\u679c\u306f\u3001\u30c4\u30ea\u30fc\u306e\u4e0b\u306e\u90e8\u5206\u304c\u30bd\u30fc\u30c8\u3055\u308c\u305f\u72b6\u6cc1\u306b\u306a\u308a\u307e\u3059\u3002\u5fc5\u8981\u306a\u306e\u306f\u30014 \u3092\u6b63\u3057\u3044\u4f4d\u7f6e\u306b\u30c9\u30ed\u30c3\u30d7\u3057\u3001\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u7e70\u308a\u8fd4\u3059\u3060\u3051\u3067\u3059\u3002\u305f\u3060\u3057\u3001\u3059\u3067\u306b\u30bd\u30fc\u30c8\u3055\u308c\u3066\u3044\u308b\u6570\u5024\u3001\u3064\u307e\u308a 9 \u306f\u8003\u616e\u3057\u307e\u305b\u3093\u3002<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>4 \u3092\u843d\u3068\u3057\u305f\u5f8c\u30019 &#8211; \u306e\u6b21\u306b\u5927\u304d\u306a\u6570\u5b57\u3092\u4e0a\u3052\u305f\u3053\u3068\u304c\u5224\u660e\u3057\u307e\u3057\u305f\u3002 7. \u30bd\u30fc\u30c8\u3055\u308c\u3066\u3044\u306a\u3044\u6700\u5f8c\u306e\u6570\u5b57 (4) \u3068\u6700\u5927\u306e\u6570\u5b57 (7) \u3092\u4ea4\u63db\u3057\u307e\u3059<br \/>\n\u2800\u28004<br \/>\n\u28003\u28005<br \/>\n2 0 7 9<\/p>\n<p>\u6b63\u3057\u3044\u6700\u7d42\u4f4d\u7f6e\u306b 2 \u3064\u306e\u6570\u5024\u304c\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3057\u305f\u3002<br \/>\n4\u30013\u30015\u30012\u30010\u3001<strong>7<\/strong>\u3001<strong>9<\/strong><\/p>\n<p>\u6b21\u306b\u3001\u65e2\u306b\u4e26\u3079\u66ff\u3048\u3089\u308c\u305f\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u7121\u8996\u3057\u3066\u4e26\u3079\u66ff\u3048\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u7e70\u308a\u8fd4\u3057\u307e\u3059\u3002\u6700\u7d42\u7684\u306b\u306f <a href=\"https:\/\/www.youtube.com\/watch?v=nnun8y7r8_U\" target=\"_blank\" rel= \u3092\u53d6\u5f97\u3057\u307e\u3059\u3002 \"noopener\">\u30d2\u30fc\u30d7<\/a> \u30bf\u30a4\u30d7:<br \/>\n\u2800\u28000<br \/>\n\u28002\u28003<br \/>\n4 5 7 9<\/p>\n<p>\u307e\u305f\u306f\u30ea\u30b9\u30c8\u3068\u3057\u3066:<br \/>\n0\u30012\u30013\u30014\u30015\u30017\u30019<\/p>\n<h3>\u5b9f\u88c5<\/h3>\n<p>\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306f\u901a\u5e38\u3001\u6b21\u306e 3 \u3064\u306e\u6a5f\u80fd\u306b\u5206\u5272\u3055\u308c\u307e\u3059\u3002<\/p>\n<p><\u30aa\u30eb><\/p>\n<li>\u30d2\u30fc\u30d7\u306e\u4f5c\u6210<\/li>\n<li>\u3075\u308b\u3044\u5206\u3051\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0 (heapify)<\/li>\n<li>\u30bd\u30fc\u30c8\u3055\u308c\u3066\u3044\u306a\u3044\u6700\u5f8c\u306e\u8981\u7d20\u3068\u6700\u521d\u306e\u8981\u7d20\u3092\u7f6e\u304d\u63db\u3048\u307e\u3059<\/li>\n<\/ol>\n<p>\u30d2\u30fc\u30d7\u306f\u3001heapify \u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u30d0\u30a4\u30ca\u30ea \u30c4\u30ea\u30fc\u306e\u6700\u5f8c\u304b\u3089 2 \u756a\u76ee\u306e\u884c\u3092\u53f3\u304b\u3089\u5de6\u306b\u914d\u5217\u306e\u672b\u5c3e\u307e\u3067\u8d70\u67fb\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u4f5c\u6210\u3055\u308c\u307e\u3059\u3002\u6b21\u306b\u30b5\u30a4\u30af\u30eb\u3067\u306f\u3001\u6700\u521d\u306e\u6570\u5024\u306e\u7f6e\u63db\u304c\u884c\u308f\u308c\u3001\u305d\u306e\u5f8c\u3001\u6700\u521d\u306e\u8981\u7d20\u304c\u914d\u7f6e\u3055\u308c\u308b\u304b\u3001\u305d\u306e\u4f4d\u7f6e\u306b\u6b8b\u308a\u307e\u3059\u3002\u305d\u306e\u7d50\u679c\u3001\u6700\u5927\u306e\u8981\u7d20\u304c 1 \u4f4d\u306b\u914d\u7f6e\u3055\u308c\u3001\u53c2\u52a0\u8005\u304c 1 \u4eba\u6e1b\u3063\u3066\u30b5\u30a4\u30af\u30eb\u304c\u7e70\u308a\u8fd4\u3055\u308c\u307e\u3059\u3002\u5404\u30d1\u30b9\u306e\u5f8c\u3001\u30bd\u30fc\u30c8\u3055\u308c\u305f\u6570\u5024\u304c\u30ea\u30b9\u30c8\u306e\u6700\u5f8c\u306b\u6b8b\u308a\u307e\u3059\u3002<\/p>\n<p>Ruby \u3067\u306e\u30d2\u30fc\u30d7\u30bd\u30fc\u30c8\u306e\u4f8b:<\/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>\u3053\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306f\u8996\u899a\u5316\u3057\u306a\u3044\u3068\u7406\u89e3\u3057\u306b\u304f\u3044\u305f\u3081\u3001\u6700\u521d\u306b\u30d0\u30a4\u30ca\u30ea \u30c4\u30ea\u30fc\u306e\u73fe\u5728\u306e\u30d3\u30e5\u30fc\u3092\u51fa\u529b\u3059\u308b\u95a2\u6570\u3092\u4f5c\u6210\u3059\u308b\u3053\u3068\u3092\u304a\u52e7\u3081\u3057\u307e\u3059\u3002<\/p>\n<h3>\u30ea\u30f3\u30af<\/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>\u30bd\u30fc\u30b9<\/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\/Pyramid_sort\" target=\"_blank\" rel=\"noopener\">https:\/\/ru.wikipedia.org\/wiki\/Pyramid_sort<\/a> <\/p>\n<p><a href=\"https:\/\/neerc.ifmo.ru\/wiki\/index.php?title=Heap_sorting\" target=\"_blank\" rel=\"noopener\">https:\/\/neerc.ifmo.ru\/wiki \/index.php?title=\u30d2\u30fc\u30d7\u30bd\u30fc\u30c8<\/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><\/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\/Tree (\u30c7\u30fc\u30bf\u69cb\u9020)<\/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 \uff09\u300d target=\"_blank\" rel=\"noopener\">https:\/\/ru.wikipedia.org\/wiki\/Heap (\u30c7\u30fc\u30bf\u69cb\u9020)<\/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\/\u30d0\u30a4\u30ca\u30ea\u30d2\u30fc\u30d7\u306e\u914d\u5217\u8868\u73fe\/<\/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\"\u30bf\u30fc\u30b2\u30c3\u30c8 = \"_\u7a7a\u767d\" 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>\u30d2\u30fc\u30d7\u30bd\u30fc\u30c8 \u2013 \u30d4\u30e9\u30df\u30c3\u30c9\u30bd\u30fc\u30c8\u3002\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u6642\u9593\u8a08\u7b97\u91cf &#8211; O(n log n)\u3001\u901f\u3044\u3067\u3059\u3088\u306d?\u79c1\u306f\u3053\u308c\u3092\u3001\u843d\u3061\u3066\u304f\u308b\u5c0f\u77f3\u306e\u9078\u5225\u3068\u547c\u3093\u3067\u3044\u307e\u3059\u3002\u3053\u308c\u3092\u8aac\u660e\u3059\u308b\u6700\u3082\u7c21\u5358\u306a\u65b9\u6cd5\u306f\u8996\u899a\u7684\u306b\u8aac\u660e\u3059\u308b\u3053\u3068\u3060\u3068\u601d\u3044\u307e\u3059\u3002 \u5165\u529b\u306f\u3001\u6b21\u306e\u3088\u3046\u306a\u6570\u5024\u306e\u30ea\u30b9\u30c8\u3067\u3059\u3002 5\u30010\u30017\u30012\u30013\u30019\u30014 \u5de6\u304b\u3089\u53f3\u306b\u3001\u30c7\u30fc\u30bf\u69cb\u9020\u3001\u3064\u307e\u308a\u30d0\u30a4\u30ca\u30ea \u30c4\u30ea\u30fc\u3001\u307e\u305f\u306f\u79c1\u304c\u305d\u308c\u3092\u547c\u3093\u3067\u3044\u308b &#8211; \u304c\u4f5c\u6210\u3055\u308c\u307e\u3059\u3002\u30d4\u30e9\u30df\u30c3\u30c9\u3002\u30d4\u30e9\u30df\u30c3\u30c9\u8981\u7d20\u306b\u306f\u6700\u5927 2 \u3064\u306e\u5b50\u8981\u7d20\u3092\u542b\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u304c\u3001\u6700\u4e0a\u4f4d\u306e\u8981\u7d20\u306f 1 \u3064\u3060\u3051\u3067\u3059\u3002 \u30d0\u30a4\u30ca\u30ea \u30c4\u30ea\u30fc\u3092\u4f5c\u6210\u3057\u307e\u3057\u3087\u3046: \u2800\u28005 \u28000\u28007 2 3 9 4 \u30d4\u30e9\u30df\u30c3\u30c9\u3092\u9577\u3044\u9593\u898b\u3066\u307f\u308b\u3068\u3001\u3053\u308c\u3089\u306f\u914d\u5217\u304b\u3089\u306e\u5358\u306a\u308b\u6570\u5024\u3067\u3042\u308a\u3001\u6b21\u3005\u306b\u6765\u3066\u3001\u5404\u30d5\u30ed\u30a2\u306e\u8981\u7d20\u306e\u6570\u304c 2 \u500d\u306b\u306a\u3063\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002 \u6b21\u306b\u3001\u697d\u3057\u3044\u4f5c\u696d\u304c\u59cb\u307e\u308a\u307e\u3059\u3002\u5c0f\u77f3\u3092\u843d\u3068\u3059\u65b9\u6cd5 (heapify) \u3092\u4f7f\u7528\u3057\u3066\u3001\u30d4\u30e9\u30df\u30c3\u30c9\u3092\u4e0b\u304b\u3089\u4e0a\u306b\u4e26\u3079\u66ff\u3048\u307e\u3057\u3087\u3046\u3002\u6700\u7d42\u968e\uff082 3 9 4\uff09\u304b\u3089\u4e26\u3079\u66ff\u3048\u3092\u958b\u59cb\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u304c\u3001\u610f\u5473\u304c\u3042\u308a\u307e\u305b\u3093\u3002\u4ee5\u4e0b\u306b\u8ee2\u843d\u3059\u308b\u53ef\u80fd\u6027\u306e\u3042\u308b\u5e8a\u306f\u3042\u308a\u307e\u305b\u3093\u3002 \u3057\u305f\u304c\u3063\u3066\u3001\u6700\u5f8c\u304b\u3089 2 \u756a\u76ee\u306e\u30d5\u30ed\u30a2 (0 7) \u304b\u3089\u8981\u7d20\u3092\u30c9\u30ed\u30c3\u30d7\u3057\u59cb\u3081\u307e\u3059\u3002 \u2800\u28005 \u28000\u28007 2 3 9 4 \u6700\u521d\u306b\u8a72\u5f53\u3059\u308b\u8981\u7d20\u304c\u53f3\u304b\u3089\u9078\u629e\u3055\u308c\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u306f 7 \u3067\u3059\u3002\u6b21\u306b\u3001\u305d\u306e\u4e0b\u306b\u3042\u308b\u3082\u306e\u3092\u8abf\u3079\u307e\u3059\u3002\u305d\u306e\u4e0b\u306b\u306f 9 \u3068 4 \u304c\u3042\u308a\u30019 \u306f 4<a class=\"more-link\" href=\"https:\/\/demensdeum.com\/blog\/ja\/2022\/08\/08\/heapsort\/\">Continue reading <span class=\"screen-reader-text\">&#8220;\u30d2\u30fc\u30d7\u30bd\u30fc\u30c8&#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":"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\/3373","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=3373"}],"version-history":[{"count":22,"href":"https:\/\/demensdeum.com\/blog\/ja\/wp-json\/wp\/v2\/posts\/3373\/revisions"}],"predecessor-version":[{"id":3866,"href":"https:\/\/demensdeum.com\/blog\/ja\/wp-json\/wp\/v2\/posts\/3373\/revisions\/3866"}],"wp:attachment":[{"href":"https:\/\/demensdeum.com\/blog\/ja\/wp-json\/wp\/v2\/media?parent=3373"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/demensdeum.com\/blog\/ja\/wp-json\/wp\/v2\/categories?post=3373"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/demensdeum.com\/blog\/ja\/wp-json\/wp\/v2\/tags?post=3373"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}