[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/6691#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/6691","headline":"QuickSort  – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","name":"QuickSort  – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","description":"before-content-x4 QuickSort \uff08 \u82f1\u8a9e \u7d20\u65e9\u3044 \u3001\u901f\u3044’ \u3068 \u5206\u985e\u3059\u308b \u300c\u30bd\u30fc\u30c8\u300d\uff09\u306f\u3001\u539f\u5247\u306b\u57fa\u3065\u3044\u305f\u3001\u3088\u308a\u901f\u304f\u3001\u518d\u5e30\u7684\u3067\u5b89\u5b9a\u3057\u3066\u3044\u306a\u3044\u30bd\u30fc\u30c8\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3059 \u5206\u5272\u7d71\u6cbb \u306f\u50cd\u3044\u3066\u3044\u308b\u3002 1960\u5e74\u9803\u306bC. Antony R. Hoare\u306b\u3088\u3063\u3066\u57fa\u672c\u7684\u306a\u5f62\u3067\u958b\u767a\u3055\u308c\u307e\u3057\u305f [\u521d\u3081] \u305d\u308c\u4ee5\u6765\u3001\u591a\u304f\u306e\u7814\u7a76\u8005\u306b\u3088\u3063\u3066\u6539\u5584\u3055\u308c\u307e\u3057\u305f\u3002\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306b\u306f\u3001\u975e\u5e38\u306b\u77ed\u3044\u5185\u5074\u30eb\u30fc\u30d7\uff08\u5b9f\u884c\u901f\u5ea6\u304c\u5927\u5e45\u306b\u5411\u4e0a\u3059\u308b\uff09\u304c\u3042\u308a\u3001\u518d\u5e30\u306b\u5fc5\u8981\u306a\u8ffd\u52a0\u30b9\u30da\u30fc\u30b9\u3092\u9664\u3044\u3066\u3001\u8ffd\u52a0\u306e\u30b9\u30c8\u30ec\u30fc\u30b8\u30b9\u30da\u30fc\u30b9\u3092\u5fc5\u8981\u3068\u3057\u306a\u3044\u3068\u3044\u3046\u5229\u70b9\u304c\u3042\u308a\u307e\u3059\u3002 after-content-x4 \u5e73\u5747\u3057\u3066\u3001QuickSort\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u304c\u30ea\u30fc\u30c9\u3057\u307e\u3059 o","datePublished":"2023-03-07","dateModified":"2023-03-07","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/6\/6a\/Sorting_quicksort_anim.gif\/220px-Sorting_quicksort_anim.gif","url":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/6\/6a\/Sorting_quicksort_anim.gif\/220px-Sorting_quicksort_anim.gif","height":"168","width":"220"},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/6691","wordCount":5797,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4 QuickSort \uff08 \u82f1\u8a9e  \u7d20\u65e9\u3044  \u3001\u901f\u3044’ \u3068 \u5206\u985e\u3059\u308b \u300c\u30bd\u30fc\u30c8\u300d\uff09\u306f\u3001\u539f\u5247\u306b\u57fa\u3065\u3044\u305f\u3001\u3088\u308a\u901f\u304f\u3001\u518d\u5e30\u7684\u3067\u5b89\u5b9a\u3057\u3066\u3044\u306a\u3044\u30bd\u30fc\u30c8\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3059 \u5206\u5272\u7d71\u6cbb \u306f\u50cd\u3044\u3066\u3044\u308b\u3002 1960\u5e74\u9803\u306bC. Antony R. Hoare\u306b\u3088\u3063\u3066\u57fa\u672c\u7684\u306a\u5f62\u3067\u958b\u767a\u3055\u308c\u307e\u3057\u305f [\u521d\u3081] \u305d\u308c\u4ee5\u6765\u3001\u591a\u304f\u306e\u7814\u7a76\u8005\u306b\u3088\u3063\u3066\u6539\u5584\u3055\u308c\u307e\u3057\u305f\u3002\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306b\u306f\u3001\u975e\u5e38\u306b\u77ed\u3044\u5185\u5074\u30eb\u30fc\u30d7\uff08\u5b9f\u884c\u901f\u5ea6\u304c\u5927\u5e45\u306b\u5411\u4e0a\u3059\u308b\uff09\u304c\u3042\u308a\u3001\u518d\u5e30\u306b\u5fc5\u8981\u306a\u8ffd\u52a0\u30b9\u30da\u30fc\u30b9\u3092\u9664\u3044\u3066\u3001\u8ffd\u52a0\u306e\u30b9\u30c8\u30ec\u30fc\u30b8\u30b9\u30da\u30fc\u30b9\u3092\u5fc5\u8981\u3068\u3057\u306a\u3044\u3068\u3044\u3046\u5229\u70b9\u304c\u3042\u308a\u307e\u3059\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u5e73\u5747\u3057\u3066\u3001QuickSort\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u304c\u30ea\u30fc\u30c9\u3057\u307e\u3059 o \uff08 n de \u30ed\u30b0 \u2061 \uff08 n \uff09\uff09 \uff09\uff09 {displaystyle {mathcal {o}}\uff08ncdot log\uff08n\uff09\uff09} \u6bd4\u8f03\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u6700\u60aa\u306e\u5834\u5408 o \uff08 n 2 \uff09\uff09 {displaystyle {mathcal {o}}\uff08n^{2}\uff09} \u6bd4\u8f03\u304c\u884c\u308f\u308c\u307e\u3057\u305f\u304c\u3001\u3053\u308c\u306f\u5b9f\u969b\u306b\u306f\u975e\u5e38\u306b\u307e\u308c\u3067\u3059\u3002 [2]        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4 1\u304b\u30891\u304b\u3089 n \u30e9\u30f3\u30c0\u30e0\u306a\u9806\u5e8f\u3067\u306f\u3001\u30af\u30a4\u30c3\u30af\u30b9\u306e\u5834\u6240\u3067\u30bd\u30fc\u30c8\u3055\u308c\u307e\u3059\u3002 \u307e\u305a\u3001\u30bd\u30fc\u30c8\u3059\u308b\u30ea\u30b9\u30c8\u306f2\u3064\u306e\u30b5\u30d6\u30ea\u30b9\u30c8\uff08 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-CALLED\u30d4\u30dc\u30c3\u30c8\u8981\u7d20\u3092\u9078\u629e\u3057\u307e\u3059\u3002\u30d4\u30dc\u30c3\u30c8\u8981\u7d20\u3088\u308a\u3082\u5c0f\u3055\u3044\u3059\u3079\u3066\u306e\u8981\u7d20\u306f\u3001\u5de6\u30b5\u30d6\u30ea\u30b9\u30c8\u306b\u5165\u308a\u3001\u53f3\u306e\u90e8\u5206\u30ea\u30b9\u30c8\u3067\u5927\u304d\u3044\u3059\u3079\u3066\u306e\u8981\u7d20\u304c\u5165\u308a\u307e\u3059\u3002\u30d4\u30dc\u30c3\u30c8\u8981\u7d20\u306b\u7b49\u3057\u3044\u8981\u7d20\u306f\u3001\u5fc5\u8981\u306b\u5fdc\u3058\u3066\u30b5\u30d6\u30ea\u30b9\u30c8\u306b\u5e83\u304c\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002\u90e8\u9580\u306b\u3088\u308b\u3068\u3001\u5de6\u306e\u30ea\u30b9\u30c8\u306e\u8981\u7d20\u306f\u3001\u53f3\u306e\u30ea\u30b9\u30c8\u306e\u8981\u7d20\u304c\u5c0f\u3055\u304f\u3001\u307e\u305f\u306f\u7b49\u3057\u304f\u7b49\u3057\u304f\u3042\u308a\u307e\u3059\u3002 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[]).push({});after-content-x4\u3053\u306e\u624b\u9806\u3067\u306f\u3001\u5404\u30b5\u30d6\u30ea\u30b9\u30c8\u304c\u30ea\u30b9\u30c8\u5168\u4f53\u3088\u308a\u5c11\u306a\u304f\u3068\u30821\u3064\u77ed\u3044\u3053\u3068\u3092\u78ba\u8a8d\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u5f8c\u3001\u518d\u5e30\u306f\u591a\u304f\u306e\u30b9\u30c6\u30c3\u30d7\u306e\u5f8c\u306b\u6700\u7d42\u7684\u306b\u7d42\u4e86\u3059\u308b\u3053\u3068\u304c\u4fdd\u8a3c\u3055\u308c\u307e\u3059\u3002\u305d\u308c\u306fz\u3067\u3059\u3002 B.\u306f\u3001\u5143\u3005\u9078\u629e\u3055\u308c\u305f\u8981\u7d20\u3092\u30b5\u30d6\u30ea\u30b9\u30c8\u306e\u9593\u306e\u5834\u6240\u306b\u30d4\u30dc\u30c3\u30c8\u3068\u3057\u3066\u9078\u629e\u3059\u308b\u3053\u3068\u3067\u5b9f\u73fe\u3067\u304d\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u90e8\u5206\u7684\u306a\u30ea\u30b9\u30c8\u306b\u5c5e\u3057\u3066\u3044\u307e\u305b\u3093\u3002 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\u6b21\u306e\u64ec\u4f3c\u30b3\u30fc\u30c9\u306f\u3001\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u4ed5\u7d44\u307f\u3092\u793a\u3057\u3066\u3044\u307e\u3059 \u30c7\u30fc\u30bf \u30bd\u30fc\u30c8\u3059\u308b\u30ea\u30b9\u30c8 n \u8981\u7d20\u306f\u3067\u3059\u3002\u3042\u306a\u305f\u304c\u96fb\u8a71\u3059\u308b\u305f\u3073\u306b QuickSort\uff08\uff09 \u4e0e\u3048\u307e\u3059 \u30ea\u30f3\u30af \u30b5\u30d6\u30ea\u30b9\u30c8\u306e\u6700\u521d\u306e\u8981\u7d20\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3068 \u53f3\u306e\u65b9\u3078 \u6700\u5f8c\u306e\u305d\u308c\u3002\u521d\u3081\u3066\u306e\u547c\u3073\u51fa\u3057\uff08\u4e0a\u90e8\u518d\u5e30\u30ec\u30d9\u30eb\uff09\u306f \u30ea\u30f3\u30af= 0 \u3068 \u53f3= n-1 \u3002\u5408\u683c\u3057\u305f\u30ea\u30b9\u30c8\u306f\u30011\u3064\u306e\u5024\u306e\u307f\u304c\u542b\u307e\u308c\u308b\u307e\u3067\u518d\u5e30\u7684\u306b\u7e70\u308a\u8fd4\u3057\u5171\u6709\u3055\u308c\u307e\u3059\u3002  \u95a2\u6570 QuickSort\uff08\u5de6\u3001\u53f3\uff09 \u6edd \u5de6 pivot \u305d\u308c\u304b\u3089 \u30c7\u30fc\u30bf[i]\u3092\u30c7\u30fc\u30bf\u3068\u4ea4\u63db[\u53f3] \u3055\u3082\u306a\u3044\u3068 i\uff1a=\u53f3 \u7d42\u308f\u308a  \u5fdc\u7b54 \u79c1 \u7d42\u308f\u308a  \u30d4\u30dc\u30c3\u30c8\u8981\u7d20\u3092\u9078\u629e\u3057\u305f\u5f8c\u3001\u30ea\u30b9\u30c8\u306e\u5148\u982d\uff08\u30a4\u30f3\u30c7\u30c3\u30af\u30b9I\uff09\u304b\u3089\u8981\u7d20\u304c\u6700\u521d\u306b\u691c\u7d22\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u30d4\u30dc\u30c6\u30eb\u30e1\u30f3\u30c8\u3088\u308a\u3082\u5927\u304d\u304f\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30ea\u30b9\u30c8\u306e\u6700\u5f8c\u304b\u3089\u30d4\u30dc\u30c6\u30eb\u30e1\u30f3\u30c8\uff08\u30a4\u30f3\u30c7\u30c3\u30af\u30b9J\uff09\u3088\u308a\u3082\u5c0f\u3055\u3044\u8981\u7d20\u304c\u6c42\u3081\u3089\u308c\u307e\u3059\u3002\u6b21\u306b\u30012\u3064\u306e\u8981\u7d20\u304c\u4ea4\u63db\u3055\u308c\u3001\u6700\u7d42\u7684\u306b\u6b63\u3057\u3044\u30b5\u30d6\u30ea\u30b9\u30c8\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u306e\u5f8c\u30012\u3064\u306e\u691c\u7d22\u30d7\u30ed\u30bb\u30b9\u306f\u3001\u4e0b\u4e0b\u691c\u7d22\u304c\u51fa\u4f1a\u3046\u307e\u3067\u9054\u6210\u3055\u308c\u305f\u4f4d\u7f6e\u304b\u3089\u7d99\u7d9a\u3055\u308c\u307e\u3059\u3002 2\u3064\u306e\u30b5\u30d6\u30ea\u30b9\u30c8\u306e\u5883\u754c\u7dda\u304c\u3042\u308a\u307e\u3059\u3002 Table of Contents\u90e8\u54c1\uff08\u5de6\u3001\u53f3\uff09 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30a2\u30eb\u30d5\u30a1\u30d9\u30c3\u30c8\u9806\u306e\u4e26\u3079\u66ff\u3048\u306e\u5b8c\u5168\u306a\u4f8b [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u9593\u9694 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u53ce\u7d0d\u30b9\u30da\u30fc\u30b9 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30c1\u30a7\u30fc\u30f3\u30ba\u30ea\u30b9\u30c8\u306e\u30af\u30a4\u30c3\u30af\u30bd\u30fc\u30c8 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u53cd\u5fa9\u6db2\u30af\u30a4\u30c3\u30af\u30bd\u30fc\u30c8 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u6a5f\u80fd\u8a00\u8a9e\u306e\u30af\u30a4\u30c3\u30af\u30bd\u30fc\u30c8 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u4e26\u5217\u30af\u30a4\u30c3\u30af\u30bd\u30fc\u30c8 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u90e8\u54c1\uff08\u5de6\u3001\u53f3\uff09 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u6587\u5b57\u30b7\u30fc\u30b1\u30f3\u30b9\u300c\u4f8b\u300d\u306f\u3001\u30a2\u30eb\u30d5\u30a1\u30d9\u30c3\u30c8\u9806\u306b\u30bd\u30fc\u30c8\u3055\u308c\u308b\u3053\u3068\u3067\u3059\u3002 \u306e\u521d\u671f\u72b6\u6cc1 \u79c1 \u3068 j \u3001\u53f3\u5074\u306e\u8981\u7d20\uff08 l \uff09\u30d4\u30dc\u30c3\u30c8\u8981\u7d20\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 e i n b e i s p i e l  ^ ^  I j \u5185\u5074\u306e\u7814\u524a\u3067\u306e\u6700\u521d\u306e\u691c\u7d22\u306e\u5f8c \u79c1 \u8981\u7d20\u306b > l \u3068 j \u8981\u7d20\u306b \u30d4\u30dc\u30c3\u30c8\u306e\u307f\u304c\u3042\u308a\u307e\u3059\u3002 e i e b e i i l s n p                ^                \u79c1 \u30a2\u30eb\u30d5\u30a1\u30d9\u30c3\u30c8\u9806\u306e\u4e26\u3079\u66ff\u3048\u306e\u5b8c\u5168\u306a\u4f8b [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u3053\u306e\u4f8b\u3067\u306f\u3001QuickSortalgorithm\u306f\u6587\u5b57\u30b7\u30fc\u30b1\u30f3\u30b9\u300cQuickSort\u300d\u3092\u4e26\u3079\u66ff\u3048\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u6700\u521d\u306b\u6b63\u3057\u3044\u8981\u7d20 p-> \u30d4\u30dc\u30c6\u30eb\u30e1\u30f3\u30c8\u3068\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u6b21\u306b\u3001\u5de6\u304b\u3089\u53f3\u306b\u300c\u5927\u304d\u304f\u300d\u5b9f\u884c\u3055\u308c\u3001\u53f3\u304b\u3089\u5de6\u306b\u300c\u5c0f\u3055\u3044\u300d\u3068\u30ab\u30a6\u30f3\u30bf\u30fcg\u304c\u300c\u5927\u304d\u304f\u300dk\u3092\u5b9f\u884c\u3057\u307e\u3059\u3002 QuickSort^ ^^g kp g\u304c\u30d4\u30dc\u30c3\u30c8\u30a8\u30ec\u30e1\u30f3\u30c8\u3088\u308a\u3082\u5927\u304d\u3044\u8981\u7d20\u3092\u6e80\u305f\u3057\u3001\u5c0f\u3055\u3044\u304b\u7b49\u3057\u304f\u30d4\u30dc\u30c3\u30c8\u30ea\u30f3\u30b0\u3092\u7b49\u3057\u304fk\u307e\u3067\u306e\u8981\u7d20\u3092\u6e80\u305f\u3059\u307e\u3067\u3002 QuickSort  ^ ^^  g kp \u3053\u308c\u3089\u306e2\u3064\u306e\u8981\u7d20R\u3068U\u304c\u898b\u3064\u304b\u3063\u305fu\u306f\u3001\u6b21\u306e\u30b9\u30c6\u30c3\u30d7\u3067\u4ea4\u63db\u3055\u308c\u307e\u3059\u3002 QRICKSOUT  ^ ^^  g kp \u6b21\u306e\u30b9\u30c6\u30c3\u30d7\u3067\u306f\u3001\u30a4\u30f3\u30c7\u30c3\u30af\u30b9k\u3068g\u306f\u901a\u5e38\u3068\u540c\u3058\u65b9\u5411\u306b\u7d9a\u304d\u3001\u30d4\u30dc\u30c3\u30c8\u8981\u7d20\u3088\u308a\u3082\u5927\u304d\u3044\u3001\u307e\u305f\u306fk\u3067\u30d4\u30dc\u30c6\u30eb\u30e1\u30f3\u30c8\u3088\u308a\u3082\u5927\u304d\u3044\u8981\u7d20\u3092\u63a2\u3057\u3066\u3044\u307e\u3059\u3002 QRICKSOUT       ^^^       KGP \u4eca\u3001K\u3068G\u306f\u4e92\u3044\u306b\u901a\u904e\u3057\u307e\u3057\u305f\u3002\u3053\u306e\u30a4\u30d9\u30f3\u30c8\u306f\u7d42\u4e86\u6761\u4ef6\u3067\u3059\u3002\u3053\u308c\u3067\u3001\u30d4\u30dc\u30c3\u30c8\u8981\u7d20\u306fG\u3067\u793a\u3055\u308c\u308b\u8981\u7d20\u3068\u4ea4\u63db\u3055\u308c\u307e\u3059\u3002 qricksotu       ^^^^       kpg \u6b21\u306e2\u3064\u306e\u30b9\u30c6\u30fc\u30c8\u30e1\u30f3\u30c8\u304c\u771f\u5b9f\u3067\u3059\u3002\u300c\u30d4\u30dc\u30c6\u30ec\u30e1\u30f3\u30c8\u306e\u5de6\u5074\u306b\u306f\u3001\u3059\u3079\u3066\u306e\u8981\u7d20\u304c\u5c0f\u3055\u3044\u304b\u3001\u30d4\u30dc\u30c6\u30eb\u30e1\u30f3\u30c8\u304c\u7b49\u3057\u304f\u3042\u308a\u307e\u3059\u3002\u30d4\u30dc\u30c6\u30ec\u30e1\u30f3\u30c8\u306e\u53f3\u5074\u306b\u306f\u3001\u3059\u3079\u3066\u304c\u5927\u304d\u3044\u8981\u7d20\u304c\u5927\u304d\u3044\u3001\u307e\u305f\u306f\u7b49\u3057\u304f\u30d4\u30dc\u30c3\u30c8\u30ec\u30e1\u30f3\u30c8\u304c\u3042\u308a\u307e\u3059\u3002\u300d \u30ea\u30f3\u30af|\uff1a| rechts qrickso | t | u       ^|^|^       k | p | g \u30d4\u30dc\u30c6\u30ec\u30e1\u30f3\u30c8\u306f\u3001\u5de6\u534a\u5206\u306e\u5de6\u534a\u5206\u306e\u30d4\u30dc\u30c6\u30ec\u30e1\u30f3\u30c8\u306e\u30dd\u30a4\u30f3\u30c8\u3067\u306e\u30c7\u30fc\u30bf\u306e\u91cf\u3092\u300c\u5171\u6709\u300d\u3057\u307e\u3059\u3002\u3053\u308c\u3067\u3001\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306f\u524d\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3068\u540c\u3058\u65b9\u6cd5\u3067\u5de6\u3068\u53f3\u306e\u90e8\u5206\u3092\u5f15\u304d\u7d9a\u304d\u51e6\u7406\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u518d\u5e30\u304c\u767a\u751f\u3057\u307e\u3057\u305f\u3002\u6b63\u3057\u3044\u90e8\u5206\uff08\u6587\u5b57u\uff09\u306f\u5358\u4e00\u306e\u8981\u7d20\u306e\u307f\u3067\u3042\u308b\u305f\u3081\u3001\u5b9a\u7fa9\u306b\u3088\u308a\u30bd\u30fc\u30c8\u3055\u308c\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5de6\u306e\u90e8\u5206\u306f\u73fe\u5728\u6271\u308f\u308c\u3066\u3044\u307e\u3059\u3002\u9069\u5207\u306a\u8981\u7d20\u306f\u518d\u3073\u30d4\u30dc\u30c6\u30eb\u30e1\u30f3\u30c8\u3067\u3042\u308a\u3001\u30ab\u30a6\u30f3\u30bf\u30fc\u306f\u9069\u5207\u306b\u8a2d\u5b9a\u3055\u308c\u3066\u3044\u307e\u3059\u3002 qrickso | t | u^ ^^g kp Q\u306fO\u3088\u308a\u3082\u5927\u304d\u304f\u3001K\u306fO\u3088\u308a\u3082\u5c0f\u3055\u3044\u3067\u3059\u3002 qrickso | t | u ^ ^ ^ G K p \u3057\u305f\u304c\u3063\u3066\u3001Q\u3068k\u304c\u4ea4\u63db\u3055\u308c\u307e\u3059\u3002 kricqso | t | u ^ ^ ^ G K p \u633f\u5165g\u3068k\u306f\u8d70\u308a\u7d9a\u3051\u307e\u3059... kricqso | t | u  ^ ^ ^  G K p R\u3068C\u304c\u4ea4\u63db\u3055\u308c\u307e\u3059\u3002 kcirqso | t | u  ^ ^ ^  G K p \u6b21\u306e\u30b9\u30c6\u30c3\u30d7\u3067\u306f\u3001\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u306f\u518d\u3073\u4e92\u3044\u306b\u901a\u308a\u904e\u304e\u307e\u3057\u305f... kcirqso | t | u   ^^ ^   kg p ...\u305d\u3057\u3066\u3001\u30d4\u30dc\u30c6\u30ec\u30e1\u30f3\u30c8\uff08\u6587\u5b57o\uff09\u306f\u3001\u3088\u308a\u5927\u304d\u306a\u8981\u7d20\uff08\u6587\u5b57R\uff09\u3068\u4ea4\u63db\u3055\u308c\u307e\u3059\u3002 kcioqsr | t | u   ^^ ^   KP g \u4eca\u3001\u5225\u306e\u5de6\u3068\u53f3\u306e\u90e8\u5206\u304c\u3042\u308a\u307e\u3059\u3002 \u30ea\u30f3\u30af\uff1aRechts kci | o | qsr | t | u   ^|^| ^ | |   k | p | g | | \u6700\u521d\u306b\u5de6\u90e8\u304c\u6271\u308f\u308c\u307e\u3059\u3002 kn | | qsr | t | u^ ^ | | | ^^ | | \"G kl | | g kp | | \" cki | o | qsr | t | u ^^ ocus | | ^^^ | | GKP | | g kp | | \u6587\u5b57C\u3068K\u304c\u4ea4\u63db\u3055\u308c\u307e\u3059\u3002 cki | o | qsr | t | u ^^ ocus | | ^^^ | | KGP | | g kp | | \u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u306f\u4e92\u3044\u306b\u901a\u308a\u904e\u304e\u3066\u304a\u308a\u3001\u30a4\u30f3\u30c7\u30c3\u30af\u30b9g\u306e\u8981\u7d20\u306f\u30a4\u30f3\u30c7\u30c3\u30af\u30b9p\u306e\u8981\u7d20\u3068\u4ea4\u63db\u3055\u308c\u307e\u3059\u3002 cik | o | qsr | t | u ^^^ | |^^^ | | kpg | | g kp | | \u73fe\u5728\u767a\u751f\u3057\u3066\u3044\u308b\u65b0\u3057\u3044\u5de6\u53f3\u306e\u90e8\u5206\u306f\u3001\u5358\u4e00\u306e\u8981\u7d20\u306e\u307f\u3067\u69cb\u6210\u3055\u308c\u3001\u30bd\u30fc\u30c8\u3055\u308c\u3066\u3044\u308b\u3068\u898b\u306a\u3055\u308c\u307e\u3059\u3002 cik | o | qsr | t | u    | | ^^^ | |    | | KGP | | \u524d\u8005\u306e\u53f3\u306e\u90e8\u5206\uff08\u6587\u5b57QSR\uff09\u3067\u306f\u3001\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u306f\u4e92\u3044\u306b\u76f4\u63a5\u5b9f\u884c\u3055\u308c\u3001G\u306e\u8981\u7d20\u306f\u30d4\u30dc\u30c3\u30c8\u8981\u7d20\u3068\u4ea4\u63db\u3055\u308c\u307e\u3059\u3002 cik | o | qrs | t | u    | | ^^^ | |    | | kpg | | \u3059\u3079\u3066\u306e\u6587\u5b57\u304c\u30bd\u30fc\u30c8\u3055\u308c\u307e\u3059\u3002 cik | o | qrs | t | u \u7d50\u679c\uff1a CICOQSTU \u9593\u9694 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u6301\u7d9a\u6642\u9593\u306f\u3001\u672c\u8cea\u7684\u306b\u30d4\u30dc\u30c3\u30c8\u8981\u7d20\u306e\u9078\u629e\u306b\u4f9d\u5b58\u3057\u307e\u3059\u3002 \u6700\u60aa\u306e\u5834\u5408\uff08\u6700\u60aa\u306e\u5834\u5408\uff09\u3001\u30d4\u30dc\u30c3\u30c8\u8981\u7d20\u306f\u5e38\u306b\u9078\u629e\u3055\u308c\u3066\u3044\u308b\u305f\u3081\u3001\u30ea\u30b9\u30c8\u5185\u306e\u6700\u5927\u307e\u305f\u306f\u6700\u5c0f\u306e\u8981\u7d20\u306b\u306a\u308a\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u3053\u306e\u5834\u5408\u3001\u30ea\u30b9\u30c8\u306e\u6700\u5f8c\u306b\u8981\u7d20\u304c\u5e38\u306b\u30d4\u30dc\u30c3\u30c8\u8981\u7d20\u3068\u3057\u3066\u9078\u629e\u3055\u308c\u3001\u30bd\u30fc\u30c8\u3055\u308c\u308b\u30ea\u30b9\u30c8\u304c\u65e2\u306b\u30bd\u30fc\u30c8\u3055\u308c\u3066\u3044\u308b\u5834\u5408\u3067\u3059\u3002\u691c\u8a0e\u3059\u3079\u304d\u30ea\u30b9\u30c8\u306f\u3001\u3059\u3079\u3066\u306e\u518d\u5e30\u30b9\u30c6\u30c3\u30d7\u30671\u3064\u306e\u5c0f\u3055\u3044\u3082\u306e\u306e\u307f\u3067\u3042\u308a\u3001\u6642\u9593\u306e\u8907\u96d1\u3055\u306f\u306b\u3088\u3063\u3066\u8aac\u660e\u3055\u308c\u307e\u3059 o \uff08 n 2 \uff09\uff09 {displaystyle {mathcal {o}}\uff08n^{2}\uff09} \u3002\u3053\u306e\u5834\u5408\u306e\u6bd4\u8f03\u306e\u6570\u306f\u3042\u308a\u307e\u3059 n\u22c5(n+1)2 -  \u521d\u3081 = n22+ n2 -  \u521d\u3081 {displaystyle {tfrac {ncdot left\uff08n+1 right\uff09} {2}}  -  1 = {tfrac {n^{2}} {2}}+{tfrac {n} {2}}  -  1} \u3002 \u6700\u826f\u306e\u30b1\u30fc\u30b9\uff08\u30d9\u30b9\u30c8\u30b1\u30fc\u30b9\uff09\u3067\u306f\u30012\u3064\u306e\u90e8\u5206\u7684\u306a\u30ea\u30b9\u30c8\u304c\u307b\u307c\u540c\u3058\u30b5\u30a4\u30ba\u306b\u306a\u308b\u3088\u3046\u306b\u3001\u30d4\u30dc\u30c3\u30c8\u8981\u7d20\u304c\u5e38\u306b\u9078\u629e\u3055\u308c\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u6f38\u8fd1\u9805\u306b\u9069\u7528\u3055\u308c\u307e\u3059 o \uff08 n de \u30ed\u30b0 \u2061 \uff08 n \uff09\uff09 \uff09\uff09 {displaystyle {mathcal {o}}\uff08ncdot log\uff08n\uff09\uff09} \u3002\u4eca\u56de\u306e\u8907\u96d1\u3055\u306f\u3001\u5e73\u5747\u7684\u306a\u30b1\u30fc\u30b9\uff08\u5e73\u5747\u30b1\u30fc\u30b9\uff09\u306b\u3082\u9069\u7528\u3055\u308c\u307e\u3059\u3002\u518d\u5e30\u901a\u8a71\u306e\u9577\u3044\u90e8\u54c1\u30ea\u30b9\u30c8\u306e\u9577\u3055\u306f\u5e73\u5747\u3057\u3066\u3067\u3059 2n\u2211 i=n2n\u22121\u79c1 = 34n  -  24{displaystyle textStyle {frac {2} {n}}\u5408\u8a08\u5236\u9650_ {i = {frac {n} {2}}}}^{n-1} i = {frac {3} {4}} n- {frac {2} {4}}}} {4}}} \u305d\u3057\u3066\u3001\u305d\u306e\u4e2d\u306e\u518d\u5e30\u306e\u6df1\u3055 o \uff08 \u30ed\u30b0 \u2061 \uff08 n \uff09\uff09 \uff09\uff09 {displaystyle {mathcal {o}}\uff08log\uff08n\uff09\uff09} \u3002\u5e73\u5747\u7684\u306a\u5834\u5408\u3001\u6bd4\u8f03\u306e\u6570\u306f\u7d04\u3067\u3059 2 de \u30ed\u30b0 \u2061 \uff08 2 \uff09\uff09 de \uff08 n + \u521d\u3081 \uff09\uff09 de \u30ed\u30b0 2 \u2061 \uff08 n \uff09\uff09 \u2248 \u521d\u3081 \u3001 39 de \uff08 n + \u521d\u3081 \uff09\uff09 de \u30ed\u30b0 2 \u2061 \uff08 n \uff09\uff09 {displaystyle 2cdot log\uff082\uff09cdot\uff08n+1\uff09cdot log _ {2}\uff08n\uff09\u7d041,39cdot\uff08n+1\uff09cdot log _ {2}\uff08n\uff09} \u3002 [3] \u30d4\u30dc\u30c3\u30c8\u8981\u7d20\u3092\u9078\u629e\u3059\u308b\u305f\u3081\u306e\u6587\u732e\u3067\u306f\u3001\u3055\u307e\u3056\u307e\u306a\u30a2\u30d7\u30ed\u30fc\u30c1\u304c\u8aac\u660e\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u6700\u60aa\u306e\u30b1\u30fc\u30b9\u304c\u5230\u7740\u3059\u308b\u78ba\u7387\u306f\u3001\u30b5\u30a4\u30ba\u304c\u7570\u306a\u308a\u307e\u3059\u3002 \u53ef\u80fd\u306a\u30a2\u30d7\u30ed\u30fc\u30c1\u306f\u3001\u5e38\u306b\u30ea\u30b9\u30c8\u306e\u6700\u5f8c\u307e\u305f\u306f\u4e2d\u592e\u306e\u8981\u7d20\u3092\u9078\u629e\u3059\u308b\u6700\u521d\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u3067\u3059\u3002\u305f\u3060\u3057\u3001\u3053\u306e\u7d20\u6734\u306a\u30a2\u30d7\u30ed\u30fc\u30c1\u306f\u6bd4\u8f03\u7684\u975e\u52b9\u7387\u7684\u3067\u3059\u3002\u5225\u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u306f\u3001\u3053\u308c\u30893\u3064\u306e\u8981\u7d20\u306e\u4e2d\u592e\u5024\u3092\u6c7a\u5b9a\u3057\u3001\u305d\u308c\u3092\u30d4\u30dc\u30c6\u30ec\u30e1\u30f3\u30c8\u3068\u3057\u3066\u4f7f\u7528\u3059\u308b\u3053\u3068\u3067\u3059\u3002\u5225\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u306f\u3001\u30d4\u30dc\u30c3\u30c8\u8981\u7d20\u3068\u3057\u3066\u30e9\u30f3\u30c0\u30e0\u8981\u7d20\u3092\u9078\u629e\u3059\u308b\u3053\u3068\u3067\u3059\u3002\u3053\u308c\u3067 \u30e9\u30f3\u30c0\u30e0\u5316\u3055\u308c\u305fQuickSeport \u6700\u60aa\u306e\u671f\u9593\u304c\u975e\u5e38\u306b\u4f4e\u3044\u7d50\u679c\u3068\u3057\u3066\u3001\u30d4\u30dc\u30c3\u30c8\u8981\u7d20\u304c\u5404\u90e8\u9580\u30b9\u30c6\u30c3\u30d7\u3067\u9078\u629e\u3055\u308c\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002\u5f7c\u306f\u5b9f\u969b\u306b\u306f\u6c7a\u3057\u3066\u73fe\u308c\u306a\u3044\u3068\u60f3\u5b9a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u305f\u3068\u3048\u3070\u3001Hepssond\u306a\u3069\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u304c\u3042\u308a\u307e\u3059\u304c\u3001\u6700\u60aa\u306e\u5834\u5408\u306b\u3082\u6761\u4ef6\u304c\u3042\u308a\u307e\u3059 o \uff08 n de \u30ed\u30b0 \u2061 \uff08 n \uff09\uff09 \uff09\uff09 {displaystyle {mathcal {o}}\uff08ncdot log\uff08n\uff09\uff09} \u9650\u3089\u308c\u3066\u3044\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u5b9f\u969b\u306b\u306f\u3001\u6700\u60aa\u306e\u5834\u5408\u306e\u30af\u30a4\u30c3\u30af\u30bd\u30fc\u30c8\u304c\u975e\u5e38\u306b\u307e\u308c\u306b\u767a\u751f\u3057\u3001\u4e2d\u9593\u30b1\u30fc\u30b9\u3067\u306f\u6a5f\u95a2\u8eca\u3088\u308a\u3082\u9ad8\u901f\u3067\u3042\u308b\u3068\u60f3\u5b9a\u3055\u308c\u308b\u305f\u3081\u3001\u30af\u30a4\u30c3\u30af\u30b9\u306e\u5834\u6240\u304c\u307e\u3060\u4f7f\u7528\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u3053\u308c\u306f\u4f9d\u7136\u3068\u3057\u3066\u7814\u7a76\u306e\u4e3b\u984c\u3067\u3042\u308a\u3001\u4e00\u90e8\u306e\u5206\u6790\u3068\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u306f\u3001\u60c5\u5831\u306e\u7406\u8ad6\u7684\u306a\u8003\u616e\u4e8b\u9805\u3068\u5b9f\u88c5\u306e\u8003\u616e\u4e8b\u9805\u306e\u4e21\u65b9\u304b\u3089\u3001\u6b63\u9762\u306bHapssont\u30d0\u30ea\u30a2\u30f3\u30c8\u3092\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 [4] [5] \u4eca\u65e5\u3001QuickSort\u306f\u3001\u5e45\u5e83\u3044\u5b9f\u7528\u7684\u306a\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u306b\u9069\u3057\u305f\u30bd\u30fc\u30c8\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3059\u3002\u3053\u308c\u306f\u3001\u9ad8\u901f\u3067\u3042\u308a\u3001\u518d\u5e30\u304c\u5229\u7528\u53ef\u80fd\u306a\u5834\u5408\u3001\u7c21\u5358\u306b\u5b9f\u88c5\u3067\u304d\u307e\u3059\u3002\u3059\u3067\u306b\u591a\u304f\u306e\u6a19\u6e96\u30e9\u30a4\u30d6\u30e9\u30ea\u3067\u5229\u7528\u53ef\u80fd\u3067\u3059\u3002\u305f\u3060\u3057\u3001\u305d\u308c\u307e\u3067\u306e\u9593\u3001\u4ee3\u66ff\u624b\u6bb5\u3082\u30a4\u30f3\u30c8\u30ed\u30bd\u30fc\u30c8\u3067\u5229\u7528\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u540c\u7b49\u306e\u4e2d\u671f\u3067\u3001\u6700\u60aa\u306e\u5834\u5408\u306e\u4e0a\u90e8\u969c\u58c1\u3082\u3042\u308a\u307e\u3059\u3002 o \uff08 n de \u30ed\u30b0 \u2061 \uff08 n \uff09\uff09 \uff09\uff09 {displaystyle {mathcal {o}}\uff08ncdot log\uff08n\uff09\uff09} \u4fdd\u8a3c\u3055\u308c\u3066\u3044\u307e\u3059\u3002 \u4e2d\u592e\u30e1\u30c7\u30a3\u30a2\u30f3\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u4f7f\u7528\u3057\u3066\u3001\u30d4\u30dc\u30c6\u30ec\u30e1\u30f3\u30c8\u3092\u9078\u629e\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u306e\u914d\u5217\u306e\u4e2d\u592e\u5024\u3067\u3059 o \uff08 n \uff09\uff09 {displaystyle {mathcal {o}}\uff08n\uff09} \u78ba\u304b\u306b\u3001\u306e\u30e9\u30f3\u30bf\u30a4\u30e0 o \uff08 n de \u30ed\u30b0 \u2061 \uff08 n \uff09\uff09 \uff09\uff09 {displaystyle {mathcal {o}}\uff08ncdot log\uff08n\uff09\uff09} \u30af\u30a4\u30c3\u30af\u30bd\u30fc\u30c8\u306e\u6700\u60aa\u306e\u5834\u5408\u306f\u4fdd\u8a3c\u3055\u308c\u307e\u3059\u3002 \u53ce\u7d0d\u30b9\u30da\u30fc\u30b9 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] QuickSort\u306f\u30a4\u30f3\u30d7\u30ec\u30fc\u30b9\u30d7\u30ed\u30bb\u30b9\u3067\u3059\u3002\u30ea\u30b9\u30c8\u306e\u8981\u7d20\u3092\u30ea\u30b9\u30c8\u5185\u306b\u4e26\u3079\u66ff\u3048\u308b\u3060\u3051\u3067\u3001\u8ffd\u52a0\u306e\u30b9\u30c8\u30ec\u30fc\u30b8\u30b9\u30da\u30fc\u30b9\u306b\u30b3\u30d4\u30fc\u3057\u307e\u305b\u3093\u304c\u3001\u30b9\u30bf\u30c3\u30af\u4e0a\u306e\u518d\u5e30\u30ec\u30d9\u30eb\u3054\u3068\u306b\u8ffd\u52a0\u306e\u30b9\u30da\u30fc\u30b9\u304c\u5fc5\u8981\u3067\u3059\u3002 \u3053\u306e\u7528\u8a9e\u3068\u540c\u69d8\u306b\u3001\u30e1\u30e2\u30ea\u6d88\u8cbb\u306f\u30d4\u30dc\u30c6\u30ec\u30e1\u30f3\u30c8\u306e\u9078\u629e\u3068\u5229\u7528\u53ef\u80fd\u306a\u30c7\u30fc\u30bf\u306e\u7a2e\u985e\u306b\u3082\u4f9d\u5b58\u3057\u307e\u3059\u3002\u6700\u3082\u5b89\u4fa1\u3067\u5e73\u5747\u7684\u306a\u30b1\u30fc\u30b9\u3067\u306f\u3001\u518d\u5e30\u306e\u6df1\u3055\u304c\u3042\u308a\u307e\u3059 o \uff08 \u30ed\u30b0 \u2061 \uff08 n \uff09\uff09 \uff09\uff09 {displaystyle {mathcal {o}}\uff08log\uff08n\uff09\uff09} \u3001\u30b9\u30bf\u30c3\u30af\u30b5\u30a4\u30ba\u306e\u307f\u3067\u3059 o \uff08 \u30ed\u30b0 \u2061 \uff08 n \uff09\uff09 \uff09\uff09 {displaystyle {mathcal {o}}\uff08log\uff08n\uff09\uff09} \u5fc5\u8981\u3067\u3059\u3002 \u6700\u60aa\u306e\u5834\u5408\u3001\u518d\u5e30\u306e\u6570\u306f\u30ea\u30b9\u30c8\u306e\u9577\u3055\u306b\u3088\u308b\u3082\u306e\u3067\u3059 n {displaystyle n} \u9650\u3089\u308c\u305f\u3001\u306a\u3093\u3066\u30b5\u30a4\u30ba\u306e\u30b9\u30bf\u30c3\u30af o \uff08 n \uff09\uff09 {displaystyle {mathcal {o}}\uff08n\uff09} \u5fc5\u8981\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u9577\u3044\u30ea\u30b9\u30c8\u306b\u30b9\u30bf\u30c3\u30af\u30aa\u30fc\u30d0\u30fc\u30d5\u30ed\u30fc\u304c\u767a\u751f\u3059\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u554f\u984c\u3092\u89e3\u6c7a\u3059\u308b\u304b\u3001\u5c11\u306a\u304f\u3068\u3082\u305d\u306e\u767a\u751f\u306e\u53ef\u80fd\u6027\u3092\u6e1b\u3089\u3059\u305f\u3081\u306b\u3001\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306b\u591a\u69d8\u306a\u5909\u66f4\u304c\u3042\u308a\u307e\u3059\u3002 [6] \u518d\u9001\u4fe1\u306e\u51e6\u5206\uff08\u5f8c\u7d9a\u306epseudocode\u3092\u53c2\u7167\uff09 \u3088\u308a\u30d0\u30e9\u30f3\u30b9\u306e\u3068\u308c\u305f\u30d4\u30dc\u30c3\u30c8\u30a8\u30ec\u30e1\u30f3\u30c8\u306e\u9078\u629e\uff08\u4f8b\uff1a3\u306e\u4e2d\u592e\u5024\uff09 \u30e9\u30f3\u30c0\u30e0\u306a\u30d4\u30dc\u30c6\u30eb\u30e1\u30f3\u30c8\u3092\u9078\u629e\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u30d4\u30dc\u30c3\u30c8\u3092\u9078\u629e\u3059\u308b\u65b9\u6cd5\u3068\u306e\u76f8\u4e92\u4f5c\u7528\u306b\u304a\u3051\u308b\u7279\u5b9a\u306e\u8981\u7d20\u306e\u524d\u30bd\u30fc\u30c8\u304b\u3089\u751f\u3058\u308b\u53ef\u80fd\u6027\u306e\u3042\u308b\u4f53\u7cfb\u7684\u306a\u554f\u984c\u3092\u9632\u3050\u3053\u3068\u3092\u9632\u304e\u307e\u3059 2\u3064\u672a\u6e80\u306e\u8981\u7d20\u3092\u6301\u3064\u90e8\u5206\u30ea\u30b9\u30c8\u306e\u56de\u907f\uff08\u7d50\u679c\u3001\u30d4\u30dc\u30c3\u30c8\u8981\u7d20\u304c\u30b5\u30d6\u30ea\u30b9\u30c8\u304b\u3089\u53d6\u308a\u51fa\u3055\u308c\u305f\u5834\u5408\u3067\u3082\u3001\u518d\u5e30\u306e\u6700\u5927\u6df1\u5ea6 n \/ 3 {displaystyle n\/3} \uff09\uff09 \u6b21\u306e\u64ec\u4f3c\u30b3\u30fc\u30c9\u306f\u3001\u3088\u308a\u77ed\u3044\u30b5\u30d6\u30ea\u30b9\u30c8\u304c\u518d\u5e30\u7684\u306b\u30bd\u30fc\u30c8\u3055\u308c\u308b\u3088\u3046\u306b\u3001\u6b8b\u308a\u306e\u30b5\u30d6\u30ea\u30b9\u30c8\u304c\u518d\u3073\u5206\u5272\u3055\u308c\u308b\uff08\u304a\u3088\u3073\u77ed\u3044\u30b5\u30d6\u30ea\u30b9\u30c8\u306e\u30bd\u30fc\u30c8\uff09\u3092\u518d\u5e30\u7684\u306b\u30bd\u30fc\u30c8\u3059\u308b\u3088\u3046\u306b\u3001\u6700\u7d42\u898f\u5236\uff082\u756a\u76ee\u306e\u30b5\u30d6\u30ea\u30b9\u30c8\u306e\u4e26\u3079\u66ff\u3048\uff09\u3092\u53cd\u5fa9\u306b\u7f6e\u304d\u63db\u3048\u307e\u3059\u3002\u518d\u56de\u5e30\u306e\u6df1\u3055\u306f\u3088\u308a\u5927\u304d\u304f\u3042\u308a\u307e\u305b\u3093 \u30ed\u30b0 \u2061 \uff08 n \uff09\uff09 {displaystyle log\uff08n\uff09} \uff1a  \u95a2\u6570 QuickSort\uff08\u5de6\u3001\u53f3\uff09 \u306b\u9650\u3063\u3066 \u53f3>\u5de6 \u7e70\u308a\u8fd4\u3059 \u90e8\u5206\uff1a=\u30d1\u30fc\u30c4\uff08\u5de6\u3001\u53f3\uff09 \u6edd \u30ea\u30fc\u30ac\u30eb\u30c7\u30a3\u30d0\u30a4\u30c0\u30fc>\u90e8\u5206\u30ea\u30f3\u30af            QuickSort\uff08\u5de6\u3001\u5206\u5272-1\uff09 \/\/ SMALL SUB -LIST RECURSIVE .. \u5de6\uff1a=\u4ed5\u5207\u308a + 1 \/\/ ..\u7e70\u308a\u8fd4\u3057\u5927\u304d\u304f\u4e26\u3079\u66ff\u3048\u307e\u3059  \u3055\u3082\u306a\u3044\u3068 QuickSort\uff08\u4ed5\u5207\u308a + 1\u3001\u53f3\uff09            \u53f3\uff1a=\u4ed5\u5207\u308a-1 \u7d42\u308f\u308a  \u7d42\u308f\u308a  \u7d42\u308f\u308a  \u5225\u306e\u53ef\u80fd\u6027 n {displaystyle n} \u7dda\u5f62\u306e\u8ffd\u52a0\u30b9\u30c8\u30ec\u30fc\u30b8\u30b9\u30da\u30fc\u30b9\u3092\u907f\u3051\u308b\u3053\u3068\u306f\u30012\u3064\u306e\u90e8\u5206\u7684\u306a\u6210\u529f\u306e\u3046\u3061\u5c11\u306a\u3044\u3053\u3068\u304c\u6700\u521d\u306b\u518d\u5e30\u7684\u306b\u30bd\u30fc\u30c8\u3055\u308c\u308b\u3053\u3068\u3067\u3059\uff08\u3082\u30461\u3064\u306f\u5f8c\u3067\u30bd\u30fc\u30c8\u3055\u308c\u307e\u3059\u304c\u3001\u518d\u5e30\u7684\uff09\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u307e\u3060\u30bd\u30fc\u30c8\u3055\u308c\u3066\u3044\u306a\u3044\u90e8\u5206\u30b7\u30fc\u30b1\u30f3\u30b9\u306e\u6570\u306f\u6b8b\u3063\u3066\u3044\u307e\u3059 o \uff08 \u30ed\u30b0 \u2061 \uff08 n \uff09\uff09 \uff09\uff09 {displaystyle {mathcal {o}}\uff08log\uff08n\uff09\uff09} \u9650\u5b9a\u3002\u5404\u30d1\u30fc\u30c4\u306e\u90e8\u5206\u7684\u306a\u90e8\u5206\u30b7\u30fc\u30b1\u30f3\u30b9\u306b2\u3064\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u5236\u9650\u304c\u4fdd\u5b58\u3055\u308c\u3001\u305d\u308c\u305e\u308c\u304c\u305d\u308c\u305e\u308c o \uff08 \u30ed\u30b0 \u2061 \uff08 n \uff09\uff09 \uff09\uff09 {displaystyle {mathcal {o}}\uff08log\uff08n\uff09\uff09} \u8ffd\u52a0\u306e\u4fdd\u7ba1\u30b9\u30da\u30fc\u30b9\u304c\u5fc5\u8981\u3067\u3059\u3002\u5168\u4f53\u3068\u3057\u3066\u3001\u3053\u306e\u30d0\u30ea\u30a2\u30f3\u30c8\u306e\u30cb\u30fc\u30ba\u3092\u5099\u3048\u305f\u30af\u30a4\u30c3\u30af\u30bd\u30fc\u30c8 o \uff08 \u30ed\u30b0 2 \u2061 \uff08 n \uff09\uff09 \uff09\uff09 {displaystyle {mathcal {o}}\uff08log ^{2}\uff08n\uff09\uff09} \u8ffd\u52a0\u306e\u30b9\u30c8\u30ec\u30fc\u30b8\u30b9\u30da\u30fc\u30b9\u3002 \u30c1\u30a7\u30fc\u30f3\u30ba\u30ea\u30b9\u30c8\u306e\u30af\u30a4\u30c3\u30af\u30bd\u30fc\u30c8 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] Chained\u30ea\u30b9\u30c8\u306eQuickSort\u30d0\u30ea\u30a2\u30f3\u30c8\u306e\u5834\u5408\u3001\u5206\u5272\u3055\u308c\u308b\u6700\u521d\u306e\u30a8\u30d4\u30bd\u30fc\u30c9\u304c\u30d4\u30dc\u30c3\u30c8\u8981\u7d20\u3068\u3057\u3066\u9078\u629e\u3055\u308c\u307e\u3059\u3002\u30dd\u30a4\u30f3\u30bf\u30fc\u30dd\u30a4\u30f3\u30bf\u30fc\u306f\u3001\u30d4\u30dc\u30c3\u30c8\u3088\u308a\u3082\u5c0f\u3055\u3044\u8981\u7d20\u3092\u6e80\u305f\u3059\u307e\u3067\u524d\u65b9\u306b\u62bc\u3057\u4e0a\u3052\u3089\u308c\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001Zeiger2\u304c\u901a\u904e\u3057\u305f\u8981\u7d20\u306f\u3001\u30d4\u30dc\u30c3\u30c8\u304c\u5927\u304d\u304f\u306a\u3063\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u3088\u308a\u5927\u304d\u306a\u8981\u7d20\u306e\u6700\u521d\u3092POINTER2\u3068\u4ea4\u63db\u3059\u308b\u3068\u3001\u554f\u984c\u306e\u8981\u7d20\u304c\u6b63\u3057\u3044\u30bb\u30af\u30b7\u30e7\u30f3\u306b\u306a\u308b\u3053\u3068\u304c\u4fdd\u8a3c\u3055\u308c\u307e\u3059\u3002 Zeger1\u306f\u3001\u30d4\u30dc\u30c3\u30c8\u3088\u308a\u3082\u5c0f\u3055\u3044\u8981\u7d20\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u306e\u73fe\u5728\u306e\u7aef\u3092\u30de\u30fc\u30af\u3057\u307e\u3059\u3002 Zeger2\u304c\u30a8\u30d4\u30bd\u30fc\u30c9\u306e\u53f3\u7aef\u306b\u5230\u9054\u3057\u3066\u5206\u5272\u3059\u308b\u3068\u3001\u30d4\u30dc\u30c3\u30c8\u8981\u7d20\u306f\u90e8\u5206\u30b7\u30fc\u30b1\u30f3\u30b9\u9593\u306e\u6b63\u3057\u3044\u4f4d\u7f6e\u306b\u4ea4\u63db\u3055\u308c\u307e\u3059\u3002 \/\/\u5de6\u3001\u53f3\u306f\u3053\u3053\u306b\u30dd\u30a4\u30f3\u30bf\u30fc\u3067\u3059 QuickSort\uff08\u5de6\u3001\u53f3\uff09\uff1a \u6edd \u5de6\u53f3 \u305d\u308c\u304b\u3089  \/\/\uff08\u30ed\u30fc\u30ab\u30eb\uff09\u30dd\u30a4\u30f3\u30bf\u30fc\u306e\u521d\u671f\u5316  \/\/ Zeiger0\u306fZeger1\u306e\u524d\u8eab\u3068\u3057\u3066\u306e\u307f\u5fc5\u8981\u3067\u3059 Zeger0\uff1a=\u5de6    Zeiger1\uff1a=\u5de6    Zeger2\uff1a=\u5de6 \u30d4\u30dc\u30c3\u30c8\uff1a=\u5de6\u756a\u53f7  \u7e70\u308a\u8fd4\u3059 Zeger2\uff1a= pointer2\u3002\u5f8c\u7d99\u8005;  \u6edd Zeiger2.spahl      (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4"},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/6691#breadcrumbitem","name":"QuickSort  – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2"}}]}]