{"id":295,"date":"2025-07-14T22:52:33","date_gmt":"2025-07-14T13:52:33","guid":{"rendered":"https:\/\/www.iso-g.com\/?p=295"},"modified":"2026-02-26T21:23:16","modified_gmt":"2026-02-26T12:23:16","slug":"on%c2%b2%e3%81%ae%e5%a3%81%ef%bc%9f%e3%83%90%e3%83%96%e3%83%ab%e3%82%bd%e3%83%bc%e3%83%88%e3%81%ae%e7%9c%9f%e5%ae%9f","status":"publish","type":"post","link":"https:\/\/www.iso-g.com\/index.php\/2025\/07\/14\/on%c2%b2%e3%81%ae%e5%a3%81%ef%bc%9f%e3%83%90%e3%83%96%e3%83%ab%e3%82%bd%e3%83%bc%e3%83%88%e3%81%ae%e7%9c%9f%e5%ae%9f\/","title":{"rendered":"O(n\u00b2)\u306e\u58c1\uff1f\u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u306e\u771f\u5b9f"},"content":{"rendered":"

1.\u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u3068\u306f<\/h2>\n

1-1.\u6982\u8981<\/h3>\n

\u7d50\u8ad6<\/h3>\n

\u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u306f \u6700\u3082\u30b7\u30f3\u30d7\u30eb\u306a\u6bd4\u8f03\u30bd\u30fc\u30c8<\/strong> \u3067\u3042\u308a\u3001\u96a3\u63a5\u8981\u7d20\u3092\u4ea4\u63db\u3057\u306a\u304c\u3089\u30c7\u30fc\u30bf\u3092\u6574\u5217\u3055\u305b\u308b \u5b89\u5b9a\u30fb\u30a4\u30f3\u30d7\u30ec\u30fc\u30b9<\/strong> \u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3042\u308b\u3002<\/p>\n

\u4e00\u65b9\u3067\u5e73\u5747\u30fb\u6700\u60aa\u8a08\u7b97\u91cf\u306f O(n\u00b2) \u3068\u9ad8\u304f\u3001\u5927\u898f\u6a21\u30c7\u30fc\u30bf\u306b\u306f\u9069\u3055\u306a\u3044\u304c\u3001\u8a08\u7b97\u91cf\u89e3\u6790\u3068\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u5165\u9580\u6559\u6750\u3068\u3057\u3066\u975e\u5e38\u306b\u6709\u7528\u3067\u3042\u308b\u3002<\/p>\n

\n\n\n\n\n\n\n\n\n
\u89b3\u70b9<\/th>\n\u5ba2\u89b3\u7684\u30c7\u30fc\u30bf\u30fb\u51fa\u5178<\/th>\n\u30a4\u30f3\u30b5\u30a4\u30c8<\/th>\n<\/tr>\n<\/thead>\n
\u8a08\u7b97\u91cf<\/strong><\/td>\n\u6700\u826f O(n)\u3001\u5e73\u5747\uff0f\u6700\u60aa O(n\u00b2)\u3001\u7a7a\u9593 O(1) \u3010GeeksforGeeks\u3011<\/td>\n\u5b9a\u6570\u30e1\u30e2\u30ea\u3067\u52d5\u304f\u304c\u6642\u9593\u52b9\u7387\u306f\u4f4e\u3044<\/td>\n<\/tr>\n
\u5b89\u5b9a\u30fb\u30a4\u30f3\u30d7\u30ec\u30fc\u30b9<\/strong><\/td>\nNIST DADS \u306b\u3088\u308b\u5b9a\u7fa9\u3067\u201cin-place \/ stable sort\u201d\u3068\u660e\u8a18<\/td>\n\u30ad\u30fc\u304c\u540c\u3058\u8981\u7d20\u9806\u3092\u4fdd\u3064\u305f\u3081\u3001\u5f8c\u51e6\u7406\u4e0d\u8981<\/td>\n<\/tr>\n
\u6559\u80b2\u7684\u4fa1\u5024<\/strong><\/td>\n\u30fbVisuAlgo \u3067\u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u5c02\u7528\u30b9\u30e9\u30a4\u30c9\u3068\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\u304c\u516c\u958b\u3055\u308c\u3066\u3044\u308b<\/p>\n

\u30fbCS Unplugged \u3067\u3082\u521d\u5b66\u8005\u304c\u624b\u3092\u52d5\u304b\u3059\u984c\u6750\u3068\u3057\u3066\u52b9\u679c\u3092\u5831\u544a<\/p>\n

\u30fbAP Computer Science A \u306e\u6388\u696d\u8cc7\u6599\u306b\u300c\u4ed6\u306e\u624b\u6cd5\u3068\u6bd4\u8f03\u3059\u308b\u57fa\u6e96\u300d\u3068\u3057\u3066\u63b2\u8f09<\/td>\n

\u201c\u6bd4\u8f03\u2192\u4ea4\u63db\u201d\u3068\u3044\u3046\u57fa\u672c\u64cd\u4f5c\u3067\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u6982\u5ff5\u3092\u4f53\u611f\u3067\u304d\u308b<\/td>\n<\/tr>\n
\u7523\u696d\u30cb\u30fc\u30ba<\/strong><\/td>\n\u7c73 BLS \u306f\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u958b\u767a\u8077\u306e\u96c7\u7528\u3092 2023\u20132033 \u5e74\u3067 +17 %<\/strong> \u3068\u4e88\u6e2c<\/td>\n\u57fa\u790e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u7406\u89e3\u3067\u304d\u308b\u4eba\u6750\u9700\u8981\u306f\u5897\u52a0\u50be\u5411<\/td>\n<\/tr>\n
\u6539\u826f\u7814\u7a76<\/strong><\/td>\n\u53cc\u65b9\u5411\u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u3084\u65e9\u671f\u7d42\u4e86\u5224\u5b9a\u306a\u3069\u306e\u6700\u9069\u5316\u304c\u63d0\u6848\u3055\u308c\u3066\u3044\u308b<\/td>\n\u201c\u6539\u5584\u601d\u8003\u201d \u3092\u5b66\u3076\u683c\u597d\u306e\u6750\u6599<\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n

\u5b9f\u4f8b<\/h3>\n
    \n
  • \u53ef\u8996\u5316\u5b66\u7fd2<\/strong>
    \nVisuAlgo \u3067 5 \u500b\u306e\u30d0\u30fc\u304c\u300c\u30d0\u30d6\u30eb\u306e\u3088\u3046\u306b\u6d6e\u4e0a\u300d\u3059\u308b\u69d8\u5b50\u3092\u518d\u751f\u3057\u3001\u6bd4\u8f03\u56de\u6570\u30fb\u4ea4\u63db\u56de\u6570\u3092\u9010\u6b21\u8868\u793a\u3067\u304d\u308b\u3002<\/li>\n
  • Python \u30b5\u30f3\u30d7\u30eb\uff08\u629c\u7c8b\uff09<\/strong>\n
    def bubble_sort(a):\r\n    n = len(a)\r\n    for end in range(n-1, 0, -1):\r\n        swapped = False\r\n        for i in range(end):\r\n            if a[i] > a[i+1]:\r\n                a[i], a[i+1] = a[i+1], a[i]; swapped = True\r\n        if not swapped: break  # \u65e9\u671f\u7d42\u4e86\r\n<\/code><\/pre>\n
    \u6a19\u6e96\u5f62\uff0b\u65e9\u671f\u7d42\u4e86\u3067\u6700\u826f O(n)<\/em>\u3002\u30b3\u30fc\u30c9\u306f GeeksforGeeks \u306e C\uff0fPython \u5b9f\u88c5\u3068\u540c\u7b49\u3002<\/li>\n
  • \u5b9f\u52d9\u3067\u306e\u5c0f\u898f\u6a21\u9069\u7528<\/strong>
    \n\u307b\u307c\u6574\u5217\u6e08\u307f\u306e\u30b9\u30ad\u30e3\u30f3\u30e9\u30a4\u30f3\u4e0a\u3067\u30a8\u30c3\u30b8\u9806\u5e8f\u3092\u5fae\u4fee\u6b63\u3059\u308b\u30dd\u30ea\u30b4\u30f3\u5857\u308a\u3064\u3076\u3057\u51e6\u7406\u306b\u4f7f\u7528\u3055\u308c\u308b\u4e8b\u4f8b\u304c\u5831\u544a\u3055\u308c\u3066\u3044\u308b\u3002<\/li>\n
  • \u7814\u7a76\u7528\u6539\u826f<\/strong>
    \nCocktail Shaker\uff08\u53cc\u65b9\u5411\uff09\u3084 gap \u3092\u5e83\u3052\u308b Comb Sort \u3078\u767a\u5c55\u3057\u3001\u79fb\u52d5\u8ddd\u96e2\u3092\u77ed\u7e2e\u3057\u3066\u6027\u80fd\u3092\u6539\u5584\u3059\u308b\u7814\u7a76\u304c\u7d99\u7d9a\u4e2d\u3002<\/li>\n<\/ul>\n
    \u7d50\u8ad6\uff08\u307e\u3068\u3081\uff09<\/h3>\n
    \u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u306f \u300c\u7406\u89e3\u3057\u3084\u3059\u3055\u300d\u3068\u300c\u8a08\u7b97\u91cf\u306e\u60aa\u3055\u300d<\/strong> \u304c\u540c\u5c45\u3059\u308b\u5178\u578b\u4f8b\u3067\u3042\u308a\u3001<\/p>\n
      \n
    1. \u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u57fa\u672c\u64cd\u4f5c<\/em>\uff08\u6bd4\u8f03\u30fb\u4ea4\u63db\u30fb\u30eb\u30fc\u30d7\u5236\u5fa1\uff09\u3092\u6700\u77ed\u8ddd\u96e2\u3067\u4f53\u9a13\u3067\u304d\u308b<\/li>\n
    2. \u8a08\u7b97\u91cf O(n\u00b2) \u306e\u9650\u754c\u3092\u5b9f\u6e2c\u3057\u3001\u3088\u308a\u9ad8\u901f\u306a\u624b\u6cd5\u3078\u4e57\u308a\u63db\u3048\u308b\u52d5\u6a5f\u4ed8\u3051\u306b\u306a\u308b<\/li>\n
    3. \u5b89\u5b9a\u30fb\u30a4\u30f3\u30d7\u30ec\u30fc\u30b9\u3067\u5b9f\u88c5\u304c\u77ed\u304f\u3001\u53ef\u8996\u5316\u6559\u6750\u3084\u30b3\u30fc\u30c9\u30ec\u30d3\u30e5\u30fc\u7d20\u6750\u3068\u3057\u3066\u6700\u9069<\/li>\n<\/ol>\n
      \u3068\u3044\u3046\u7406\u7531\u304b\u3089\u3001\u4eca\u65e5\u3067\u3082\u6559\u80b2\u30fb\u8a66\u9a13\u30fb\u5c0f\u898f\u6a21\u30e6\u30fc\u30c6\u30a3\u30ea\u30c6\u30a3\u3067\u6d3b\u8e8d\u3057\u3066\u3044\u308b\u3002\u5927\u898f\u6a21\u30c7\u30fc\u30bf\u306b\u306f\u9069\u3055\u306a\u3044\u3082\u306e\u306e\u3001\u201c\u307e\u305a\u306f\u52d5\u304f\u3082\u306e\u3092\u4f5c\u308a\u3001\u6b21\u306b\u901f\u304f\u3059\u308b\u201d<\/strong> \u3068\u3044\u3046\u30d7\u30ed\u958b\u767a\u306e\u601d\u8003\u30d7\u30ed\u30bb\u30b9\u3092\u4f53\u611f\u3067\u304d\u308b\u70b9\u3053\u305d\u304c\u6700\u5927\u306e\u4fa1\u5024\u3067\u3042\u308b\u3002<\/p>\n
      \"\"<\/p>\n
      2.\u524d\u63d0\u77e5\u8b58\u30fb\u6e96\u5099<\/h2>\n
      2-1.\u591a\u91cd\u30eb\u30fc\u30d7\u306e\u6d41\u308c<\/h3>\n
      \u7d50\u8ad6<\/h3>\n
      \u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u306e\u6838\u5fc3\u306f \u4e8c\u91cd\uff08\u591a\u91cd\uff09\u30eb\u30fc\u30d7<\/strong> \u69cb\u9020\u306b\u3042\u308a\u3001\u5916\u5074\u30eb\u30fc\u30d7\u304c\u300c\u672a\u6574\u5217\u7bc4\u56f2\u306e\u7e2e\u5c0f\u300d\u3001\u5185\u5074\u30eb\u30fc\u30d7\u304c\u300c\u96a3\u63a5\u8981\u7d20\u306e\u6bd4\u8f03\u3068\u4ea4\u63db\u300d\u3092\u62c5\u5f53\u3059\u308b\u3002<\/p>\n
      \u3053\u306e\u201c\u968e\u6bb5\u72b6\u201d\u306b\u6e1b\u308b\u6bd4\u8f03\u56de\u6570\u304c n (n \u2212 1)\/2<\/strong> \u306b\u53ce\u675f\u3057\u3001\u5e73\u5747\u30fb\u6700\u60aa\u8a08\u7b97\u91cf\u304c O(n\u00b2)<\/strong> \u3068\u306a\u308b\u3002<\/p>\n
      \u3057\u305f\u304c\u3063\u3066\u3001\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u6b63\u3057\u304f\u7406\u89e3\u30fb\u6700\u9069\u5316\u3059\u308b\u7b2c\u4e00\u6b69\u306f\u3001\u4e8c\u91cd\u30eb\u30fc\u30d7\u306e\u6d41\u308c\u3068\u8a08\u7b97\u91cf\u306e\u76f8\u95a2\u3092\u53ef\u8996\u5316\u3057\u3066\u628a\u63e1\u3059\u308b\u3053\u3068\u3067\u3042\u308b\u3002<\/p>\n
      \n
      \u7406\u7531\u30fb\u6839\u62e0<\/h3>\n
      \n\n\n\n\n\n\n\n\n\n\n
      \u30eb\u30fc\u30d7\u69cb\u9020<\/th>\n\u516c\u7684\u30fb\u5b66\u8853\u7684\u6839\u62e0<\/th>\n\u30dd\u30a4\u30f3\u30c8<\/th>\n<\/tr>\n<\/thead>\n
      \u5916\u5074\u30eb\u30fc\u30d7\uff1a\u30d1\u30b9\u6570\uff1dn-1<\/strong><\/td>\nMIT OCW 6.0001 \u8b1b\u7fa9\u306f\u300c\u5404\u30d1\u30b9\u5f8c\u306b\u672b\u5c3e\u304c\u78ba\u5b9a\u3057\u3001\u6700\u5927 n \u2212 1 \u5468\u300d \u3068\u8aac\u660e<\/td>\n\u672a\u6574\u5217\u533a\u9593\u3092 1 \u305a\u3064\u7e2e\u5c0f<\/td>\n<\/tr>\n
      \u5185\u5074\u30eb\u30fc\u30d7\uff1a\u6bd4\u8f03\u6570\uff1dn \u2212 \u30d1\u30b9<\/strong><\/td>\nGeeksforGeeks \u306f\u6bd4\u8f03\u30fb\u4ea4\u63db\u304c\u7b49\u5dee\u6570\u5217\u306b\u306a\u308a\u3001\u5408\u8a08 n(n-1)\/2 \u3092\u8a3c\u660e<\/td>\n\u8a08\u7b97\u91cf O(n\u00b2) \u306e\u5c0e\u51fa<\/td>\n<\/tr>\n
      \u6559\u6750\u3067\u306e\u6271\u3044<\/strong><\/td>\nCollege Board AP CS Teacher\u2019s Guide \u306f\u300c\u5404\u6bd4\u8f03\u3068\u30d1\u30b9\u3092\u30d7\u30ea\u30f3\u30c8\u3057\u53ef\u8996\u5316\u300d\u3068\u6307\u5c0e<\/td>\n\u5b66\u7fd2\u8005\u304c\u30eb\u30fc\u30d7\u56de\u6570\u3092\u4f53\u611f<\/td>\n<\/tr>\n
      \u56fd\u5185\u6559\u80b2\u30ab\u30ea\u30ad\u30e5\u30e9\u30e0<\/strong><\/td>\n\u6587\u90e8\u79d1\u5b66\u7701\u300c\u60c5\u5831\u2160\u300d\u5b9f\u8df5\u4e8b\u4f8b\u306b\u201c\u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u306e\u4ed5\u7d44\u307f\u201d\u6559\u6750\u3092\u63b2\u8f09<\/td>\n\u9ad8\u6821\u6bb5\u968e\u3067\u591a\u91cd\u30eb\u30fc\u30d7\u3092\u7fd2\u5f97<\/td>\n<\/tr>\n
      \u7523\u696d\u4eba\u6750\u80b2\u6210<\/strong><\/td>\n\u7d4c\u7523\u7701\u30ec\u30dd\u30fc\u30c8\u306f\u5e74\u9593 50 \u4e07\u4eba\u4ee5\u4e0a\u304c\u60c5\u5831\u51e6\u7406\u6280\u8853\u8005\u8a66\u9a13\u3067\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u5b66\u3076\u3068\u5831\u544a<\/td>\n\u591a\u91cd\u30eb\u30fc\u30d7\u7406\u89e3\u306f\u5c31\u696d\u5fc5\u9808<\/td>\n<\/tr>\n
      \u7814\u7a76\u7684\u6709\u52b9\u6027<\/strong><\/td>\nACM \u8ad6\u6587\u306f CS Unplugged \u306e\u30ab\u30fc\u30c9\u4e26\u3079\u66ff\u3048\u6d3b\u52d5\u3067\u7406\u89e3\u5ea6\u5411\u4e0a\u3092\u691c\u8a3c<\/td>\n\u4f53\u9a13\u578b\u3067\u30eb\u30fc\u30d7\u6982\u5ff5\u304c\u5b9a\u7740<\/td>\n<\/tr>\n
      \u56fd\u969b\u6a19\u6e96\u5b9a\u7fa9<\/strong><\/td>\nNIST DADS \u306f\u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u3092\u201cin-place, stable\u201d\u3068\u5b9a\u7fa9\u3057\u3001\u96a3\u63a5\u4ea4\u63db\u3092\u8981\u4ef6\u5316<\/td>\n\u4ea4\u63db\u304c\u5185\u5074\u30eb\u30fc\u30d7\u3067\u5b8c\u7d50<\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n
      \u88dc\u8db3<\/strong>\uff1aVisuAlgo \u3067\u306f\u30d1\u30b9\u3054\u3068\u306b\u6bd4\u8f03\u9818\u57df\u304c\u7e2e\u3080\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\u3092\u516c\u958b\u3057\u3066\u304a\u308a\u3001\u8a08\u7b97\u91cf\u30b0\u30e9\u30d5\u3068\u52d5\u4f5c\u30d5\u30ed\u30fc\u304c\u76f4\u7d50\u3057\u3066\u7406\u89e3\u3067\u304d\u308b\u3002<\/p><\/blockquote>\n
      \n
      \u5b9f\u4f8b<\/h3>\n
      def bubble_sort_verbose(a):\r\n    n = len(a)\r\n    for end in range(n-1, 0, -1):          # \u5916\u5074\u30eb\u30fc\u30d7\r\n        swapped = False\r\n        for i in range(end):               # \u5185\u5074\u30eb\u30fc\u30d7\r\n            if a[i] > a[i+1]:\r\n                a[i], a[i+1] = a[i+1], a[i]\r\n                swapped = True\r\n        print(f'pass {n-end}:', a)         # \u30d1\u30b9\u6bce\u306e\u72b6\u614b\u3092\u51fa\u529b\r\n        if not swapped: break              # \u65e9\u671f\u7d42\u4e86\r\n<\/code><\/pre>\n
        \n
      • MIT OCW<\/strong> \u306e\u30b9\u30e9\u30a4\u30c9\u3068\u540c\u4e00\u30ed\u30b8\u30c3\u30af\u3067\u3001\u5916\u5074\u30eb\u30fc\u30d7\u56de\u6570\u3092 n-1<\/code> \u306b\u5236\u9650\u3057\u3066\u3044\u308b\u3002<\/li>\n
      • \u5b9f\u884c\u4f8b\uff1a[5,1,4,2,8]<\/code> \u306f 2 \u30d1\u30b9\u3067\u6574\u5217\u3057\u3001\u6bd4\u8f03\u56de\u6570\u306f 4+3=7 \u56de\u3067\u516c\u5f0f n(n-1)\/2=10<\/strong> \u3088\u308a\u5c11\u306a\u3044\uff08\u9014\u4e2d\u7d42\u4e86\uff09\u3053\u3068\u304c\u78ba\u8a8d\u3067\u304d\u308b\u3002<\/li>\n
      • \u540c\u3058\u5165\u529b\u3092 College Board<\/strong> \u306e\u6559\u6750\u30ef\u30fc\u30af\u30b7\u30fc\u30c8\u306b\u624b\u66f8\u304d\u3059\u308b\u3068\u3001\u6bd4\u8f03\u77e2\u5370\u306e\u672c\u6570\u304c\u8996\u899a\u5316\u3067\u304d\u3001\u30eb\u30fc\u30d7\u306e\u6d41\u308c\u304c\u4f53\u9a13\u7684\u306b\u7406\u89e3\u3067\u304d\u308b\u3002<\/li>\n<\/ul>\n
        \n
        \u7d50\u8ad6\uff08\u307e\u3068\u3081\uff09<\/h3>\n
        \u591a\u91cd\u30eb\u30fc\u30d7\u306f\u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u306e\u201c\u52d5\u8108\u201d\u3067\u3042\u308a\u3001\u5916\u5074\uff1d\u30d1\u30b9\u7ba1\u7406\uff0f\u5185\u5074\uff1d\u96a3\u63a5\u6bd4\u8f03<\/strong> \u304c\u5165\u308c\u5b50\u306b\u306a\u308b\u3053\u3068\u3067\u8a08\u7b97\u91cf\u304c\u4e8c\u6b21\u5f0f\u306b\u81a8\u3089\u3080\u3002<\/p>\n
        MIT \u3084 AP CS \u306e\u6559\u6750\u3001VisuAlgo \u306e\u56f3\u89e3\u3001GeeksforGeeks \u306e\u6570\u5f0f\u8a3c\u660e\u3092\u5408\u308f\u305b\u3066\u5b66\u3076\u3068\u3001\u2460\u30eb\u30fc\u30d7\u56de\u6570 \u2192 \u8a08\u7b97\u91cf\u3001\u2461\u30d1\u30b9\u7e2e\u5c0f \u2192 \u672a\u6574\u5217\u9818\u57df\u3001\u2462\u65e9\u671f\u7d42\u4e86 \u2192 \u6700\u826f O(n) \u3078\u306e\u77ed\u7e2e\u3001\u3068\u3044\u3046\u56e0\u679c\u304c\u7acb\u4f53\u7684\u306b\u7406\u89e3\u3067\u304d\u308b\u3002<\/p>\n
        \u3064\u307e\u308a \u300c\u30eb\u30fc\u30d7\u306e\u6d41\u308c\u3092\u63b4\u3080\u3053\u3068\u304c\u8a08\u7b97\u91cf\u6700\u9069\u5316\u306e\u51fa\u767a\u70b9\u300d<\/strong> \u3067\u3042\u308a\u3001\u3053\u3053\u3092\u62bc\u3055\u3048\u308c\u3070\u9078\u629e\u30fb\u633f\u5165\u30fb\u30af\u30a4\u30c3\u30af\u30bd\u30fc\u30c8\u306a\u3069\u4e0a\u4f4d\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3078\u3082\u30b9\u30e0\u30fc\u30ba\u306b\u6a4b\u6e21\u3057\u3067\u304d\u308b\u3002<\/p>\n
        2-2.\uff12\u5024\u4ea4\u63db<\/h3>\n
        \u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u3067\u6700\u3082\u983b\u7e41\u306b\u5b9f\u884c\u3055\u308c\u308b\u30b9\u30c6\u30c3\u30d7\u304c\u300c\uff12\u5024\u4ea4\u63db\uff08\u96a3\u63a5 2 \u8981\u7d20\u306e\u5165\u308c\u66ff\u3048\uff09\u300d\u3067\u3059\u3002<\/p>\n
        NIST DADS \u306f\u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u3092\u300c\u96a3\u63a5\u8981\u7d20\u3092\u6bd4\u8f03\u3057 swap\uff08\u4ea4\u63db\uff09<\/strong> \u3057\u7d9a\u3051\u308b\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u300d\u3068\u5b9a\u7fa9\u3057\u3001\u305d\u306e\u64cd\u4f5c\u304c in-place<\/strong> \u304b\u3064 \u5b89\u5b9a<\/strong> \u3067\u3042\u308b\u70b9\u3092\u5f37\u8abf\u3057\u3066\u3044\u307e\u3059\uff61<\/p>\n
        \u8a00\u8a9e\u5225\u306b\u306f C\/C++ \u306e tmp<\/code> \u5909\u6570\u65b9\u5f0f\u3001std::swap<\/code> \u306b\u4ee3\u8868\u3055\u308c\u308b\u62bd\u8c61\u5316\u3001Python \u306e\u30bf\u30d7\u30eb\u591a\u91cd\u4ee3\u5165\u306a\u3069\u5b9f\u88c5\u304c\u591a\u5f69\u3067\u3059\u304c\u3001\u3044\u305a\u308c\u3082\u8ffd\u52a0\u30e1\u30e2\u30ea\u306f\u5b9a\u6570 O(1) \u3067\u6e08\u3080\u305f\u3081\u8a08\u7b97\u91cf\u89e3\u6790\u4e0a\u306f\u540c\u4e00\u3067\u3059\uff61<\/p>\n
        \u307e\u305f MIT OCW \u3084 VisuAlgo \u306e\u6559\u6750\u3067\u306f\u3001\u4e8c\u91cd\u30eb\u30fc\u30d7\u3092\u53ef\u8996\u5316\u3057\u306a\u304c\u3089\u300c\u6bd4\u8f03\u2192\u4ea4\u63db\u2192\u5883\u754c\u7e2e\u5c0f\u300d\u306e\u6d41\u308c\u3092\u4f53\u9a13\u3055\u305b\u308b\u3053\u3068\u3067\u8a08\u7b97\u91cf\u3068\uff12\u5024\u4ea4\u63db\u56de\u6570\u306e\u95a2\u4fc2\u3092\u7406\u89e3\u3055\u305b\u3066\u3044\u307e\u3059\uff61<\/p>\n
        \n
        \u7d50\u8ad6<\/h3>\n
        \uff12\u5024\u4ea4\u63db\u306f O(1) \u30e1\u30e2\u30ea\u3067\u8981\u7d20\u9806\u3092\u78ba\u5b9f\u306b\u5165\u308c\u66ff\u3048\u308b\u6700\u5c0f\u5358\u4f4d\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u64cd\u4f5c<\/strong> \u3067\u3042\u308a\u3001\u5b9f\u88c5\u30b9\u30bf\u30a4\u30eb\u304c\u9055\u3063\u3066\u3082\u672c\u8cea\u7684\u30b3\u30b9\u30c8\u306f\u540c\u3058\u3002<\/p>\n
        \u53ef\u8aad\u6027\u3068\u578b\u5b89\u5168\u6027\u3092\u512a\u5148\u3057\u3066\u300c\u4e00\u6642\u5909\u6570\u3042\u308b\u3044\u306f\u8a00\u8a9e\u7d44\u307f\u8fbc\u307f swap<\/code>\u300d\u3092\u4f7f\u3046\u306e\u304c\u30d7\u30ed\u306e\u57fa\u672c\u6307\u91dd\u3067\u3042\u308b\u3002<\/p>\n
        \n
        \u7406\u7531\u30fb\u6839\u62e0<\/h3>\n
        \n\n\n\n\n\n\n\n\n\n\n\n\n\n
        \u89b3\u70b9<\/th>\n\u5ba2\u89b3\u30c7\u30fc\u30bf\u30fb\u51fa\u5178<\/th>\n\u8981\u70b9<\/th>\n<\/tr>\n<\/thead>\n
        \u516c\u7684\u5b9a\u7fa9<\/td>\nNIST DADS<\/strong>\u2500\u2500\u300c\u96a3\u63a5\u30da\u30a2\u3092\u6bd4\u8f03\u3057\u5fc5\u8981\u306a\u3089 swap\u300d<\/td>\n\u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u306e\u6210\u7acb\u6761\u4ef6<\/td>\n<\/tr>\n
        \u8a00\u8a9e\u6a19\u6e96<\/td>\nC++17 std::swap<\/code><\/strong> \u306f noexcept<\/code> \u6761\u4ef6\u4ed8\u304d\u3067\u5024\u3092\u4ea4\u63db<\/td>\n\u578b\u5b89\u5168\u30fb\u4f8b\u5916\u4fdd\u8a3c<\/td>\n<\/tr>\n
        Python\u516c\u5f0f<\/td>\n\u591a\u91cd\u4ee3\u5165\u306f\u300c\u30bf\u30d7\u30eb\u306e\u30a2\u30f3\u30d1\u30c3\u30af\u3067\u9ad8\u901f\u306b swap\u300d<\/td>\n\u8ffd\u52a0\u30e1\u30e2\u30ea\u4e0d\u8981<\/td>\n<\/tr>\n
        \u8a08\u7b97\u91cf<\/td>\nGeeksforGeeks\uff1a\u4ea4\u63db\u56de\u6570\u306f\u6700\u5927 n(n-1)\/2 \u3067 O(n\u00b2)<\/td>\n\u30eb\u30fc\u30d7\u7dcf\u548c\u306b\u4e00\u81f4<\/td>\n<\/tr>\n
        \u6559\u6750\u5b9f\u8a3c<\/td>\nMIT OCW Lecture 24\uff1a\u5185\u5074\u30eb\u30fc\u30d7\u3067 swap\u3001\u5916\u5074\u3067\u5883\u754c\u7e2e\u5c0f<\/td>\n\u53ef\u8996\u5316\u3067\u7406\u89e3\u4fc3\u9032<\/td>\n<\/tr>\n
        \u53ef\u8996\u5316<\/td>\nVisuAlgo\uff1a\u5404 swap \u3092\u30a2\u30cb\u30e1\u8868\u793a\u3057\u7d2f\u7a4d\u30ab\u30a6\u30f3\u30c8\u3092\u63d0\u793a<\/td>\n\u4f53\u9a13\u578b\u5b66\u7fd2<\/td>\n<\/tr>\n
        \u6700\u9069\u5316\u8b70\u8ad6<\/td>\nXOR-swap \u306f\u300c\u4e00\u6642\u5909\u6570\u3088\u308a\u901f\u3044\u300d\u306f\u8aa4\u89e3\u3068 StackOverflow \u3067\u691c\u8a3c<\/td>\n\u53ef\u8aad\u6027\u30fb\u578b\u5236\u9650\u304c\u6b20\u70b9<\/td>\n<\/tr>\n
        \u30d9\u30f3\u30c1\u7d50\u679c<\/td>\nInventWithPython \u306e timeit<\/code> \u6e2c\u5b9a\u3067\u591a\u91cd\u4ee3\u5165 swap \u304c\u6700\u901f<\/td>\n\u5b9f\u6e2c\u3067\u6027\u80fd\u78ba\u8a8d<\/td>\n<\/tr>\n
        \u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u6e2c\u5b9a\u6cd5<\/td>\ntimeit<\/code> \u30e2\u30b8\u30e5\u30fc\u30eb\u306f\u30ac\u30fc\u30d9\u30b8\u30b3\u30ec\u30af\u30bf\u505c\u6b62\u3067\u7cbe\u5bc6\u6e2c\u5b9a<\/td>\n\u5b9f\u9a13\u624b\u9806\u306e\u6a19\u6e96<\/td>\n<\/tr>\n
        \u5b66\u7fd2\u4eba\u53e3<\/td>\n\u7d4c\u7523\u7701 IT \u4eba\u6750\u767d\u66f8\uff1a\u6bce\u5e74 50 \u4e07\u8d85\u304c\u57fa\u790e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u53d7\u9a13<\/td>\n\uff12\u5024\u4ea4\u63db\u306e\u6559\u80b2\u9700\u8981<\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n
        \n
        \u5b9f\u4f8b<\/h3>\n
        1) C \u8a00\u8a9e\uff08\u5178\u578b\uff09<\/h3>\n
        int tmp = a[i];\r\na[i] = a[i+1];\r\na[i+1] = tmp;   \/* O(1) \u30e1\u30e2\u30ea\u3067\u78ba\u5b9f *\/\r\n<\/code><\/pre>\n
        \u53ef\u8aad\u6027\u3068\u30c7\u30d0\u30c3\u30ac\u8ffd\u8de1\u6027\u304c\u9ad8\u3044\u3002<\/em><\/p>\n
        2) C++<\/h3>\n
        std::swap(a[i], a[i+1]);  \/\/ noexcept, ADL \u5bfe\u5fdc\r\n<\/code><\/pre>\n
        \u30e6\u30fc\u30b6\u5b9a\u7fa9\u578b\u3067\u3082\u5b89\u5168\u3001\u30e0\u30fc\u30d6\u6700\u9069\u5316\u304c\u52b9\u304f\u3002<\/em><\/p>\n
        3) Python<\/h3>\n
        a[i], a[i+1] = a[i+1], a[i]  # \u30bf\u30d7\u30eb\u591a\u91cd\u4ee3\u5165\r\n<\/code><\/pre>\n
        \u4e00\u6642\u5909\u6570\u4e0d\u8981\u3067\u6700\u77ed\u3002timeit<\/code> \u6e2c\u5b9a\u3067\u6700\u901f\u3092\u5b9f\u8a3c\uff61<\/em><\/p>\n
        4) NG \u4f8b\uff1aXOR-swap<\/h3>\n
        a ^= b; b ^= a; a ^= b;\r\n<\/code><\/pre>\n
        \u6574\u6570\u5c02\u7528\u30fb\u53ef\u8aad\u6027\u4f4e\u30fb\u672a\u5b9a\u7fa9\u52d5\u4f5c\u306e\u6050\u308c\u3042\u308a\u3002StackOverflow \u3067\u3082\u975e\u63a8\u5968\uff61<\/em><\/p>\n
        \n
        \u7d50\u8ad6\uff08\u307e\u3068\u3081\uff09<\/h3>\n
        \uff12\u5024\u4ea4\u63db\u306f\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e \u539f\u5b50\u7684\u64cd\u4f5c<\/strong> \u3068\u3057\u3066\u8a08\u7b97\u91cf\u306b\u76f4\u7d50\u3057\u3001\u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u3067\u306f\u6700\u5927 n(n-1)\/2 \u56de\u767a\u751f\u3059\u308b\u305f\u3081\u5b9f\u88c5\u52b9\u7387\u304c\u91cd\u8981\uff61<\/p>\n
        \u5b89\u5b9a\u6027\u30fb\u53ef\u8aad\u6027\u30fb\u578b\u5b89\u5168\u6027\u3092\u62c5\u4fdd\u3059\u308b\u306b\u306f\u300c\u4e00\u6642\u5909\u6570\u65b9\u5f0f\u300d\u307e\u305f\u306f\u8a00\u8a9e\u516c\u5f0f\u306e swap<\/code>\uff0f\u591a\u91cd\u4ee3\u5165\u3092\u7528\u3044\u308b\u306e\u304c\u30d9\u30b9\u30c8\u30d7\u30e9\u30af\u30c6\u30a3\u30b9\u3067\u3042\u308a\u3001\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u5dee\u306f\u7121\u8996\u3067\u304d\u308b\u30ec\u30d9\u30eb\u3068\u5b9f\u6e2c\u3067\u78ba\u8a8d\u3055\u308c\u3066\u3044\u308b\uff61<\/p>\n
        3.\u7279\u5fb4\u30fb\u30e1\u30ea\u30c3\u30c8\u3068\u30c7\u30e1\u30ea\u30c3\u30c8<\/h2>\n
        3-1.\u5b89\u5b9a\u6027<\/h3>\n
        \u7d50\u8ad6<\/h3>\n
        \u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u306f \u5b89\u5b9a\u30bd\u30fc\u30c8<\/strong> \u3067\u3042\u308a\u3001\u540c\u4e00\u30ad\u30fc\u8981\u7d20\u306e\u76f8\u5bfe\u9806\u5e8f\u3092\u4fdd\u6301\u3059\u308b\u305f\u3081\u3001\u8907\u6570\u30ad\u30fc\u9806\u306b\u6bb5\u968e\u7684\u306b\u4e26\u3079\u66ff\u3048\u308b\u30ef\u30fc\u30af\u30d5\u30ed\u30fc<\/strong> \u3084 \u30c7\u30fc\u30bf\u30d9\u30fc\u30b9\u306e\u91cd\u8907\u30ec\u30b3\u30fc\u30c9\u4fdd\u6301<\/strong> \u306b\u5411\u304f\u3002<\/p>\n
         <\/p>\n
        \u7406\u7531\u30fb\u6839\u62e0<\/h3>\n
          \n
        • \u516c\u7684\u5b9a\u7fa9<\/strong>\uff1aNIST DADS \u306f\u300c\u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u306f in-place \u304b\u3064 stable\u300d\u3068\u8a18\u8f09\u3057\u3001\u5b89\u5b9a\u6027\u304c\u672c\u8cea\u5c5e\u6027\u3067\u3042\u308b\u3068\u660e\u793a\u3002<\/li>\n
        • \u5b89\u5b9a\u30bd\u30fc\u30c8\u306e\u610f\u7fa9<\/strong>\uff1aMedium \u306e\u89e3\u8aac\u306f\u300c\u91cd\u8907\u30ad\u30fc\u3092\u6301\u3064\u30c7\u30fc\u30bf\u3092\u591a\u6bb5\u968e\u3067\u6574\u5217\u3059\u308b\u969b\u3001\u9806\u5e8f\u4fdd\u6301\u304c\u5fc5\u9808\u300d\u3068\u5f37\u8abf\u3002<\/li>\n
        • \u696d\u754c\u5b9f\u88c5\u4f8b<\/strong>\uff1aPython \u306e sorted()<\/code>\uff0flist.sort()<\/code> \u306f Timsort \u306b\u3088\u308a\u5b89\u5b9a\u4fdd\u8a3c<\/strong>\u3055\u308c\u3001\u516c\u5f0f\u30c9\u30ad\u30e5\u30e1\u30f3\u30c8\u304c\u660e\u8a00\u3002<\/li>\n
        • \u975e\u5b89\u5b9a\u4f8b\u3068\u306e\u5bfe\u6bd4<\/strong>\uff1aJavaScript Array.sort()<\/code> \u306f\u5b9f\u88c5\u4f9d\u5b58\u3067\u4e0d\u5b89\u5b9a<\/strong>\u3068 MDN \u304c\u6ce8\u610f\u559a\u8d77\u3002<\/li>\n
        • \u6a19\u6e96\u30bd\u30fc\u30c8\u306e\u6d41\u308c<\/strong>\uff1aJava 7 \u4ee5\u964d\u306e Arrays.sort(Object[])<\/code> \u3082 Timsort \u63a1\u7528\u3067\u5b89\u5b9a\u5316\u3057\u3001\u5b89\u5b9a\u30bd\u30fc\u30c8\u306e\u91cd\u8981\u6027\u3092\u88cf\u4ed8\u3051\u308b\u3002<\/li>\n<\/ul>\n
          \u5b9f\u4f8b<\/h3>\n
          \n\n\n\n\n\n\n
          \u30b7\u30ca\u30ea\u30aa<\/th>\n\u624b\u9806<\/th>\n\u306a\u305c\u5b89\u5b9a\u6027\u304c\u5fc5\u8981\u304b<\/th>\n<\/tr>\n<\/thead>\n
          \u7d66\u4e0e\u53f0\u5e33<\/strong>\uff1a\u90e8\u7f72\u2192\u5165\u793e\u65e5\u9806\u306b\u4e26\u3079\u66ff\u3048<\/td>\n\u2460\u90e8\u7f72\u30ad\u30fc\u3067\u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u2461\u540c\u4e00\u90e8\u7f72\u3092\u5165\u793e\u65e5\u3067\u30d0\u30d6\u30eb\u30bd\u30fc\u30c8<\/td>\n\u540c\u90e8\u7f72\u3067\u53e4\u3044\u9806\u304c\u4fdd\u6301\u3055\u308c\u3001\u6607\u9806\u5316\u304c\u5bb9\u6613<\/td>\n<\/tr>\n
          \u30ec\u30b3\u30fc\u30c9\u91cd\u8907\u8868\u793a<\/strong>\uff1aID \u6607\u9806\u2192\u5165\u529b\u9806\u4fdd\u6301<\/td>\n\u521d\u56de\u5165\u529b\u9806\u3092\u793a\u3059\u30bf\u30a4\u30e0\u30b9\u30bf\u30f3\u30d7\u3092\u30bd\u30fc\u30c8\u30ad\u30fc2 \u3068\u3057 Bubble \u3067\u6574\u5217<\/td>\n\u540c ID \u306e\u30ec\u30b3\u30fc\u30c9\u6642\u7cfb\u5217\u304c\u5d29\u308c\u306a\u3044<\/td>\n<\/tr>\n
          GUI \u30ea\u30b9\u30c8<\/strong>\uff1a\u512a\u5148\u5ea6\u30e9\u30d9\u30eb\u2192\u4f5c\u6210\u6642\u523b<\/td>\n\u512a\u5148\u5ea6\u3067\u6574\u5217\u5f8c\u3001\u540c\u512a\u5148\u5ea6\u7fa4\u3092\u6642\u523b\u9806\u306b<\/td>\n\u30e6\u30fc\u30b6\u304c\u6700\u5f8c\u306b\u89e6\u3063\u305f\u9805\u76ee\u3092\u898b\u5931\u308f\u306a\u3044<\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n
          \u7d50\u8ad6\uff08\u307e\u3068\u3081\uff09<\/h3>\n
          \u5b89\u5b9a\u30bd\u30fc\u30c8\u3067\u3042\u308b\u3053\u3068\u306f\u3001\u300c\u8ffd\u52a0\u30ad\u30fc\u306e\u60c5\u5831\u3092\u58ca\u3055\u305a\u306b\u9806\u5e8f\u3065\u3051\u3092\u91cd\u306d\u3089\u308c\u308b\u300d<\/strong> \u3068\u3044\u3046\u904b\u7528\u4e0a\u306e\u5927\u304d\u306a\u5229\u70b9\u3092\u3082\u305f\u3089\u3059\u3002<\/p>\n
          \u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u306f\u5c0f\u898f\u6a21\u306a\u3089\u5b9f\u884c\u6642\u9593\u3088\u308a\u5b89\u5b9a\u6027\u306e\u4fa1\u5024\u304c\u52dd\u308b\u305f\u3081\u3001GUI \u3084\u5e33\u7968\u306e\u5c40\u6240\u4e26\u3079\u66ff\u3048\u3067\u4f9d\u7136\u63a1\u7528\u4f59\u5730\u304c\u3042\u308b\u3002<\/p>\n
          \u4e00\u65b9\u3001\u5b89\u5b9a\u6027\u304c\u4e0d\u8981\u307e\u305f\u306f\u5927\u91cf\u30c7\u30fc\u30bf\u306e\u5834\u5408\u306f\u3001Timsort \u306a\u3069 \u9ad8\u901f\u304b\u3064\u5b89\u5b9a<\/strong> \u306a\u4ee3\u66ff\u7b56\u3001\u3042\u308b\u3044\u306f \u4e0d\u5b89\u5b9a\u3060\u304c O(n log n)<\/strong> \u306e\u30af\u30a4\u30c3\u30af\u30bd\u30fc\u30c8\u7cfb\u3078\u79fb\u884c\u3059\u308b\u5224\u65ad\u304c\u30d7\u30ed\u306e\u6700\u9069\u89e3\u3068\u306a\u308b\u3002<\/p>\n
          3-2.\u9069\u7528\u30b7\u30fc\u30f3<\/h3>\n
          \u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u304c\u6d3b\u8e8d\u3059\u308b\u5834\u9762\u306f\u300c\u6559\u80b2\u30fb\u7814\u4fee<\/strong>\u300d\u300c\u5c0f\u898f\u6a21\uff0f\u307b\u307c\u6574\u5217\u6e08\u307f\u30c7\u30fc\u30bf<\/strong>\u300d\u300c\u91cd\u8907\u30ad\u30fc\u3092\u58ca\u3055\u306a\u3044\u5b89\u5b9a\u30bd\u30fc\u30c8<\/strong>\u300d\u300c\u6bb5\u968e\u7684\u306b\u4e26\u3079\u66ff\u3048\u308b\u30a4\u30f3\u30af\u30ea\u30e1\u30f3\u30bf\u30eb\u51e6\u7406<\/strong>\u300d\u3068\u3044\u3046\u56db\u3064\u306e\u8ef8\u306b\u96c6\u7d04\u3067\u304d\u307e\u3059\u3002<\/p>\n
          \u6587\u90e8\u79d1\u5b66\u7701\u3084 AP CS A \u306b\u3088\u308b\u6388\u696d\u6307\u91dd\u3001NIST \u306e\u516c\u5f0f\u5b9a\u7fa9\u3001\u5b9f\u52d9\u8005\u306e\u7d4c\u9a13\u8ac7\u3092\u5408\u308f\u305b\u3066\u898b\u308b\u3068\u3001\u66f8\u304d\u3084\u3059\u3055\u3068 O(1) \u30e1\u30e2\u30ea<\/em> \u304c\u8a55\u4fa1\u3055\u308c\u308b\u4e00\u65b9\u3001O(n\u00b2) \u306e\u91cd\u3055<\/em> \u304c\u7528\u9014\u3092\u5f37\u304f\u9650\u5b9a\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n
          \u4ee5\u4e0b\u3067\u5177\u4f53\u7684\u306a\u9069\u7528\u30b7\u30fc\u30f3\u3092\u6574\u7406\u3057\u307e\u3059\u3002<\/p>\n
          \n
          \u7d50\u8ad6<\/h3>\n
          \u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u306f \u300c\u5b9a\u6570\u30e1\u30e2\u30ea\u3067\u5b9f\u88c5\u304c\u6700\u77ed\u300d\u304b\u3064\u300c\u5b89\u5b9a\u6027\u304c\u4fdd\u8a3c\u3055\u308c\u308b\u300d<\/strong> \u305f\u3081\u3001<\/p>\n
            \n
          1. \u6559\u80b2\u30fb\u7814\u4fee<\/strong>\u3067\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u601d\u8003\u3092\u4f53\u9a13\u3055\u305b\u308b\u6559\u6750\u3001<\/li>\n
          2. \u30b5\u30a4\u30ba\u304c\u5c0f\u3055\u3044 or \u307b\u307c\u6574\u5217\u6e08\u307f<\/strong>\u30c7\u30fc\u30bf\u306e\u30ef\u30f3\u30b7\u30e7\u30c3\u30c8\u307e\u305f\u306f\u5897\u5206\u30bd\u30fc\u30c8\u3001<\/li>\n
          3. \u91cd\u8907\u30ad\u30fc\u306e\u9806\u5e8f\u4fdd\u6301<\/strong>\u304c\u5fc5\u9808\u306a\u5c40\u6240\u51e6\u7406\u2015\u2015\u3067\u5b9f\u7528\u4e0a\u306e\u4fa1\u5024\u3092\u767a\u63ee\u3059\u308b\u3002
            \n\u9006\u306b\u6570\u5343\u4ef6\u4ee5\u4e0a\u306e\u30d0\u30c3\u30c1\u51e6\u7406\u3084\u30ea\u30a2\u30eb\u30bf\u30a4\u30e0\u5927\u91cf\u30b9\u30c8\u30ea\u30fc\u30e0\u3067\u306f\u3001O(n log n) \u7cfb\u3078\u7f6e\u304d\u63db\u3048\u308b\u306e\u304c\u30d7\u30ed\u306e\u5b9a\u77f3\u3068\u306a\u308b\u3002<\/li>\n<\/ol>\n
            \n
            \u7406\u7531\u30fb\u6839\u62e0<\/h3>\n
            \n\n\n\n\n\n\n\n\n\n
            \u9069\u7528\u8ef8<\/th>\n\u5ba2\u89b3\u7684\u6839\u62e0<\/th>\n\u89e3\u8aac<\/th>\n<\/tr>\n<\/thead>\n
            \u6559\u80b2\u30fb\u7814\u4fee<\/strong><\/td>\n\u6587\u90e8\u79d1\u5b66\u7701\u300c\u60c5\u5831\u2160\u300d\u6559\u54e1\u7814\u4fee\u6559\u6750\u304c\u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u3092\u5fc5\u4fee\u306b\u660e\u8a18\/ AP CS A \u8a66\u9a13\u7bc4\u56f2\u306b\u9078\u629e\u30fb\u633f\u5165\u3068\u4e26\u3093\u3067\u63b2\u8f09<\/td>\n\u4e8c\u91cd\u30eb\u30fc\u30d7\u3067\u8a08\u7b97\u91cf\u3068\u53ef\u8996\u5316\u304c\u76f4\u7d50\u3057\u3001\u5b66\u7fd2\u52b9\u679c\u304c\u9ad8\u3044\u3002<\/td>\n<\/tr>\n
            \u5c0f\u898f\u6a21\u30fb\u307b\u307c\u6574\u5217\u6e08\u307f<\/strong><\/td>\nStack Overflow\u300c\u307b\u307c\u6574\u5217\u306a\u3089\u30d0\u30d6\u30eb\u306e\u65b9\u304c\u901f\u3044\u300d\u56de\u7b54\uff1b\u540c Q&A \u3067 \u201cN log N \u3088\u308a\u5b9f\u6e2c\u901f\u3044\u30b1\u30fc\u30b9\u201d \u304c\u8b70\u8ad6<\/td>\n\u65e9\u671f\u7d42\u4e86\u7248\u306f\u6700\u826f O(n)\u3002\u4e71\u308c\u304c\u5c11\u306a\u3044\u30ed\u30b0\u30fb\u30ea\u30b9\u30c8\u66f4\u65b0\u306b\u5411\u304f\u3002<\/td>\n<\/tr>\n
            \u5b89\u5b9a\u6027<\/strong><\/td>\nNIST DADS \u304c in-place & stable \u3068\u5b9a\u7fa9\uff1bPython \u30c9\u30ad\u30e5\u30e1\u30f3\u30c8\u3082\u300c\u5b89\u5b9a\u30bd\u30fc\u30c8\u306e\u610f\u7fa9\u300d\u3092\u89e3\u8aac<\/td>\n\u91cd\u8907\u30ad\u30fc\u3092\u58ca\u3055\u305a\u591a\u6bb5\u968e\u30bd\u30fc\u30c8\u3067\u304d\u308b\u3002<\/td>\n<\/tr>\n
            \u30a4\u30f3\u30af\u30ea\u30e1\u30f3\u30bf\u30eb\u63cf\u753b<\/strong><\/td>\nHacker News \u3067\u300c\u30b2\u30fc\u30e0\u306e\u6df1\u5ea6\u4e26\u3073\u66ff\u3048\u306b\u6570\u30d5\u30ec\u30fc\u30e0\u3060\u3051\u30d0\u30d6\u30eb\u3092\u56de\u3059\u300d\u5b9f\u88c5\u4f8b<\/td>\n1 \u30d5\u30ec\u30fc\u30e0\u3042\u305f\u308a\u306e\u6bd4\u8f03\u6570\u3092\u6291\u3048\u3064\u3064\u6700\u7d42\u7684\u306b\u6574\u5217\u9054\u6210\u3002<\/td>\n<\/tr>\n
            \u5b9f\u88c5\u30b3\u30b9\u30c8<\/strong><\/td>\nGeeksforGeeks\u300c\u6700\u3082\u7c21\u6f54\u306b\u66f8\u3051\u308b\u30bd\u30fc\u30c8\u300d\u89e3\u8aac\uff1bCodecademy \u3082\u521d\u5fc3\u8005\u5c0e\u5165\u306b\u63a8\u5968<\/td>\n5\u301c10 \u884c\u3067\u5b8c\u6210\u3001\u8ffd\u52a0\u30e1\u30e2\u30ea\u5e38\u306b O(1)\u3002<\/td>\n<\/tr>\n
            \u53ef\u8996\u5316\u6559\u6750<\/strong><\/td>\nVisuAlgo \u304c\u6bd4\u8f03\u30fb\u4ea4\u63db\u56de\u6570\u3092\u30ea\u30a2\u30eb\u30bf\u30a4\u30e0\u8868\u793a<\/td>\n\u300c\u968e\u6bb5\u72b6\u306b\u6e1b\u308b\u6bd4\u8f03\u9818\u57df\u300d\u304c\u4e00\u76ee\u3067\u5206\u304b\u308b\u3002<\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n
            \n
            \u5b9f\u4f8b<\/h3>\n
              \n
            • \u9ad8\u6821\u60c5\u5831\u79d1\u306e\u5b9f\u7fd2\u8ab2\u984c<\/strong>\n
                \n
              • \u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u306e C\uff0fPython \u5b9f\u88c5\u3092\u5199\u7d4c \u2192 n(n-1)\/2 \u56de\u306e\u6bd4\u8f03\u3092\u624b\u8a08\u7b97\u3067\u691c\u8a3c\uff08MEXT \u6559\u6750\uff09<\/li>\n<\/ul>\n<\/li>\n
              • \u30c1\u30e3\u30c3\u30c8\u30a2\u30d7\u30ea\u306e\u30ea\u30b9\u30c8\u66f4\u65b0<\/strong>\n
                  \n
                • \u65b0\u898f\u30e1\u30c3\u30bb\u30fc\u30b8 1 \u4ef6\u3092\u672b\u5c3e\u306b\u8ffd\u52a0\u3057\u305f\u76f4\u5f8c\u3001100 \u4ef6\u7a0b\u5ea6\u306e\u8868\u793a\u30ea\u30b9\u30c8\u3092\u65e9\u671f\u7d42\u4e86\u4ed8\u304d\u30d0\u30d6\u30eb\u3067\u518d\u6574\u5217\u3057\u3001UI \u9045\u5ef6\u3092\u611f\u3058\u3055\u305b\u306a\u3044\u5b9f\u88c5\u4f8b\u304c GitHub \u3067\u5171\u6709\u3002\u30b9\u30bf\u30c3\u30af\u30aa\u30fc\u30d0\u30fc\u30d5\u30ed\u30fc\u3067\u306f\u300c\u307b\u307c\u6574\u5217\u306a\u3089\u633f\u5165\uff0f\u30d0\u30d6\u30eb\u304c\u73fe\u5b9f\u7684\u300d\u3068\u52a9\u8a00\u3002<\/li>\n<\/ul>\n<\/li>\n
                • \u30b2\u30fc\u30e0\u30a8\u30f3\u30b8\u30f3\u306e Z-\u30bd\u30fc\u30c8<\/strong>\n
                    \n
                  • \u63cf\u753b\u5bfe\u8c61\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u3092\u30d5\u30ec\u30fc\u30e0\u3054\u3068\u306b\u6570\u56de\u3060\u3051\u30d0\u30d6\u30eb\u3067\u201c\u6df1\u5ea6\u8fd1\u3044\u9806\u201d\u306b\u8fd1\u4ed8\u3051\u3001Z-\u30d0\u30c3\u30d5\u30a1\u3067\u6700\u7d42\u7684\u306a\u6b63\u3057\u3055\u3092\u62c5\u4fdd\u3059\u308b\u624b\u6cd5\u304c\u958b\u767a\u8005\u30d5\u30a9\u30fc\u30e9\u30e0\u3067\u7d39\u4ecb\u3002<\/li>\n<\/ul>\n<\/li>\n
                  • \u91cd\u8907\u30ad\u30fc\u3092\u58ca\u3055\u306a\u3044\u5e33\u7968\u6574\u5217<\/strong>\n
                      \n
                    • \u2460\u90e8\u7f72\u30ad\u30fc \u2192 \u2461\u5165\u793e\u65e5\u6642 \u306e\u4e8c\u6bb5\u968e\u30bd\u30fc\u30c8\u306b\u30d0\u30d6\u30eb\u3092\u9069\u7528\u3057\u3001\u540c\u90e8\u7f72\u5185\u306e\u5165\u793e\u9806\u304c\u7dad\u6301\u3055\u308c\u308b\uff08NIST \u304c\u5b89\u5b9a\u3068\u5b9a\u7fa9\uff09\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n
                      \n
                      \u7d50\u8ad6\uff08\u307e\u3068\u3081\uff09<\/h3>\n
                      \u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u306f\u300c\u5c0f\u3055\u304f\u30fb\u307b\u307c\u6574\u5217\u6e08\u307f\u30fb\u9806\u5e8f\u4fdd\u6301\u304c\u5fc5\u9808<\/strong>\u300d\u3068\u3044\u3046\uff13\u6761\u4ef6\u3092\u6e80\u305f\u3059\u30bf\u30b9\u30af\u3067\u4f9d\u7136\u6709\u52b9\u3060\u304c\u3001\u305d\u308c\u4ee5\u5916\u3067\u306f O(n\u00b2) \u304c\u5f8b\u901f\u3068\u306a\u308a Timsort\uff0fQuicksort \u306a\u3069\u306b\u7f6e\u304d\u63db\u3048\u308b\u306e\u304c\u9244\u5247\u3067\u3042\u308b\u3002<\/p>\n
                      \u7279\u306b \u6559\u80b2\u2192\u5b9f\u52d9<\/strong> \u306e\u79fb\u884c\u671f\u306b\u306f\u300c\u307e\u305a\u30d0\u30d6\u30eb\u3067\u52d5\u304f\u3082\u306e\u3092\u4f5c\u308a\u3001\u6027\u80fd\u8ab2\u984c\u3092\u53ef\u8996\u5316\u3057\u3066\u9ad8\u901f\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3078\u4e57\u308a\u63db\u3048\u308b\u300d\u3068\u3044\u3046\u5b66\u7fd2\u30d7\u30ed\u30bb\u30b9\u304c\u52b9\u679c\u7684\u3060\u3002<\/p>\n
                      4.\u8a08\u7b97\u91cf\u30fb\u8a08\u7b97\u6642\u9593\u30fb\u52b9\u7387<\/h2>\n
                      4-1.\u6bd4\u8f03\u30fb\u4ea4\u63db\u56de\u6570<\/h3>\n
                      \u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u306e\u6bd4\u8f03\u30fb\u4ea4\u63db\u56de\u6570\u306f\u5165\u529b\u30b5\u30a4\u30ba n \u3067\u307b\u307c\u6c7a\u307e\u308a\u3001\u6700\u60aa\u30fb\u5e73\u5747\u3067 n(n \u2212 1)\/2 \u56de\u3001\u307b\u307c\u6574\u5217\u6e08\u307f\u306a\u3069\u6700\u826f\u30b1\u30fc\u30b9\u3067\u3082 n \u2212 1 \u56de\u306b\u4e0b\u304c\u308b<\/strong>\u3068\u3044\u3046\u6975\u3081\u3066\u308f\u304b\u308a\u3084\u3059\u3044\u69cb\u9020\u3092\u6301\u3061\u307e\u3059\u3002<\/p>\n
                      \u6bd4\u8f03\u306f\u5fc5\u305a\u884c\u308f\u308c\u308b\u305f\u3081\u56de\u6570\u306f\u30c7\u30fc\u30bf\u5206\u5e03\u306b\u4f9d\u5b58\u305b\u305a\u3001\u4ee3\u308f\u308a\u306b\u4ea4\u63db\u56de\u6570\u304c\u300c\u9006\u9806 \u2192 \u6700\u5927\u300d\u300c\u6574\u5217\u6e08\u307f \u2192 \u30bc\u30ed\u300d\u3067\u5927\u304d\u304f\u632f\u308c\u308b\u70b9\u304c\u5b66\u7fd2\u30fb\u6700\u9069\u5316\u306e\u7126\u70b9\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n
                      \u7d50\u8ad6<\/h3>\n
                        \n
                      • \u6bd4\u8f03\u56de\u6570<\/strong>\uff1a\u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u306f\u6700\u60aa\u30fb\u5e73\u5747\u3067 n(n \u2212 1)\/2<\/strong>\u3001\u6700\u826f\uff08\u65e9\u671f\u7d42\u4e86\u5224\u5b9a\u4ed8\u304d\u3067\u65e2\u306b\u6574\u5217\uff09\u3067\u3082 n \u2212 1<\/strong>\u3002<\/li>\n
                      • \u4ea4\u63db\u56de\u6570<\/strong>\uff1a\u6bd4\u8f03\u3068\u540c\u6570\uff08\u9006\u9806\uff09\u301c0\uff08\u5b8c\u5168\u6574\u5217\uff09\u306e\u7bc4\u56f2\u3002<\/li>\n
                      • \u8a2d\u8a08\u30a4\u30f3\u30d1\u30af\u30c8<\/strong>\uff1a\u6bd4\u8f03\u30b3\u30b9\u30c8\u304c O(n\u00b2) \u3067\u4e00\u5b9a\u3060\u304b\u3089\u3053\u305d\u3001\u5b9f\u52d9\u3067\u306f\u4ea4\u63db\u81ea\u4f53\u3088\u308a\u300c\u6bd4\u8f03\u3092\u6e1b\u3089\u3059\u6539\u826f\u300d\u3084\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u5909\u66f4\u304c\u5fc5\u8981\u3002<\/li>\n<\/ul>\n
                        \u7406\u7531\u3084\u6839\u62e0<\/h3>\n
                        \n\n\n\n\n\n\n\n\n\n\n\n\n
                        \u89b3\u70b9<\/th>\n\u51fa\u5178\u30fb\u30c7\u30fc\u30bf<\/th>\n\u30dd\u30a4\u30f3\u30c8<\/th>\n<\/tr>\n<\/thead>\n
                        \u516c\u5f0f\u5c0e\u51fa<\/strong><\/td>\nGeeksforGeeks \u304c\u5404\u30d1\u30b9\u306e\u6bd4\u8f03\u6570\u3092\u7b49\u5dee\u6570\u5217\u3068\u3057\u3066\u5408\u8a08\u3057 n(n \u2212 1)\/2<\/strong> \u3092\u8a3c\u660e<\/td>\n\u5185\u5074\u30eb\u30fc\u30d7\uff1an\u22121, n\u22122 \u2026 1<\/td>\n<\/tr>\n
                        \u516c\u7684\u5b9a\u7fa9<\/strong><\/td>\nNIST DADS \u306f\u300c\u96a3\u63a5\u6bd4\u8f03\u3092\u7e70\u308a\u8fd4\u3059\u5b89\u5b9a\u30bd\u30fc\u30c8\u300d\u3068\u5b9a\u7fa9\u3057\u3001\u6bd4\u8f03\u56de\u6570\u304c\u30aa\u30fc\u30c0\u30fc n\u00b2 \u3067\u3042\u308b\u65e8\u3092\u89e3\u8aac<\/td>\n\u6bd4\u8f03\u4e2d\u5fc3\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0<\/td>\n<\/tr>\n
                        \u767e\u79d1\u4e8b\u5178<\/strong><\/td>\nWikipedia \u306f\u6700\u60aa\u30fb\u5e73\u5747 O(n\u00b2)<\/strong>\u3001\u30d9\u30b9\u30c8 O(n)<\/strong> \u3068\u6574\u7406\u3057\u6bd4\u8f03\u30fb\u4ea4\u63db\u56de\u6570\u3092\u660e\u793a<\/td>\n\u5b66\u8853\u30fb\u958b\u767a\u53cc\u65b9\u3067\u5f15\u7528\u591a\u6570<\/td>\n<\/tr>\n
                        \u6559\u80b2\u8cc7\u6599<\/strong><\/td>\nMIT OCW \u306e\u8b1b\u7fa9\u30b9\u30e9\u30a4\u30c9\u306f 5 \u8981\u7d20\u3092\u4f8b\u306b\u300c4+3+2+1=10 \u56de\u6bd4\u8f03\u300d\u3092\u677f\u66f8\u3057 n(n\u22121)\/2 \u3092\u793a\u3059<\/td>\n\u53ef\u8996\u5316\u3067\u4f53\u611f<\/td>\n<\/tr>\n
                        \u53ef\u8996\u5316\u30c4\u30fc\u30eb<\/strong><\/td>\nVisuAlgo \u306f\u5404\u30d1\u30b9\u5f8c\u306b\u7d2f\u7a4d\u6bd4\u8f03\u30fb\u4ea4\u63db\u30ab\u30a6\u30f3\u30bf\u3092\u8868\u793a\u3057\u8a08\u7b97\u7d50\u679c\u3092\u5b9f\u8a3c<\/td>\n\u8996\u899a\u7684\u88cf\u4ed8\u3051<\/td>\n<\/tr>\n
                        \u5b9f\u52d9\u8005 Q&A<\/strong><\/td>\nStack Overflow \u3067\u306f\u300c\u6bd4\u8f03\u6570\u306f\u5e38\u306b n(n\u22121)\/2\u3001\u5909\u308f\u308b\u306e\u306f swap \u6570\u300d\u3068\u305f\u3073\u305f\u3073\u89e3\u8aac<\/td>\n\u7d4c\u9a13\u7684\u77e5\u898b<\/td>\n<\/tr>\n
                        \u696d\u754c\u8a18\u4e8b<\/strong><\/td>\nBuilt In \u306f\u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u3092\u300c\u6bd4\u8f03\u304c\u7206\u767a\u7684\u306b\u5897\u3048\u308b\u305f\u3081\u6700\u9045\u300d\u3068\u8a55\u3057\u5b9f\u6e2c\u3067\u78ba\u8a8d<\/td>\n\u5b9f\u88c5\u8005\u5411\u3051\u8b66\u544a<\/td>\n<\/tr>\n
                        \u4ed6\u30bd\u30fc\u30c8\u6bd4\u8f03<\/strong><\/td>\nGfG \u6bd4\u8f03\u8a18\u4e8b\u306f\u300c\u633f\u5165\u30bd\u30fc\u30c8\u3088\u308a\u6bd4\u8f03\u6570\u304c\u5897\u3048\u3084\u3059\u3044\u300d\u3068\u8868\u5f62\u5f0f\u3067\u63d0\u793a<\/td>\nn\u00b2 \u7fa4\u5185\u3067\u306e\u4f4d\u7f6e\u4ed8\u3051<\/td>\n<\/tr>\n
                        \u53c2\u8003\u5b9f\u88c5<\/strong><\/td>\nGfG \u306e C\/Python \u30b3\u30fc\u30c9\u306b\u30b3\u30e1\u30f3\u30c8\u3067\u300c\u6bd4\u8f03 n(n\u22121)\/2\u3001swap \u540c\u6570\uff08\u6700\u60aa\uff09\u300d\u3068\u8a18\u8f09<\/td>\n\u6559\u6750\u30ec\u30d9\u30eb\u306e\u660e\u793a<\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n
                        \u6570\u5f0f\u3067\u518d\u78ba\u8a8d<\/h3>\n
                        \u6bd4\u8f03\u7dcf\u6570=\u2211k=1n\u22121k=n(n\u22121)2\\text{\u6bd4\u8f03\u7dcf\u6570} = \\sum_{k=1}^{n-1} k = \\frac{n(n-1)}{2}<\/span><\/p>\n
                          \n
                        • n = 5<\/strong> \u306a\u3089 10 \u56de\u3001n = 10<\/strong> \u306a\u3089 45 \u56de\u3002<\/li>\n
                        • \u4ea4\u63db\u306f\u914d\u5217\u306e\u8ee2\u5012\u6570<\/strong>\u306b\u7b49\u3057\u304f\u3001\u9006\u9806\u3067\u516c\u5f0f\u3068\u540c\u5024\u3001\u6574\u5217\u6e08\u307f\u3067 0\u3002<\/li>\n<\/ul>\n
                          \u5b9f\u4f8b<\/h3>\n
                          \n\n\n\n\n\n\n
                          \u4f8b<\/th>\n\u914d\u5217\u72b6\u614b<\/th>\n\u6bd4\u8f03\u56de\u6570<\/th>\n\u4ea4\u63db\u56de\u6570<\/th>\n\u30b3\u30e1\u30f3\u30c8<\/th>\n<\/tr>\n<\/thead>\n
                          [5,4,3,2,1]<\/code><\/td>\n\u9006\u9806<\/td>\n10<\/td>\n10<\/td>\n\u6700\u60aa\u30b1\u30fc\u30b9 (n = 5)<\/td>\n<\/tr>\n
                          [1,2,3,4,5]<\/code><\/td>\n\u6574\u5217\u6e08<\/td>\n4\u2020<\/td>\n0<\/td>\n\u65e9\u671f\u7d42\u4e86\u3042\u308a\u3067 n\u22121 \u6bd4\u8f03<\/td>\n<\/tr>\n
                          [1,5,2,3,4]<\/code><\/td>\n1 \u9006\u8ee2<\/td>\n10<\/td>\n4<\/td>\n\u6bd4\u8f03\u56fa\u5b9a\u3001swap \u306f\u8ee2\u5012\u5206\u306e\u307f<\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n
                          \u2020\u65e9\u671f\u7d42\u4e86\u30d5\u30e9\u30b0\u3092\u9664\u3044\u305f\u7d14\u7c8b\u7248\u3067\u306f 10 \u6bd4\u8f03\u3002<\/p>\n
                          VisuAlgo \u3067\u78ba\u8a8d\u53ef\u80fd\u3002<\/p>\n
                          \u958b\u767a\u73fe\u5834\u3067\u306f \u30ed\u30b0\u3084 GUI \u30ea\u30b9\u30c8<\/strong> \u306e\u3088\u3046\u306b\u300c\u307b\u307c\u6574\u5217\u6e08\u307f\uff0b\u6570\u767e\u4ef6\u300d\u306e\u30c7\u30fc\u30bf\u3092\u518d\u4e26\u3079\u66ff\u3048\u308b\u969b\u3001\u65e9\u671f\u7d42\u4e86\u7248\u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u304c n \u6bd4\u8f03\u3067\u5b8c\u4e86\u3057\u4ed6\u306e n log n \u7b97\u6cd5\u3068\u62ee\u6297\u3059\u308b\u4e8b\u4f8b\u304c\u5831\u544a\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n
                          \u7d50\u8ad6\uff08\u307e\u3068\u3081\uff09<\/h3>\n
                            \n
                          • \u6bd4\u8f03\u56de\u6570\u306f\u30c7\u30fc\u30bf\u5206\u5e03\u306b\u95a2\u4fc2\u306a\u304f\u4e8c\u6b21\u5f0f\u3067\u56fa\u5b9a<\/strong>\uff1a\u3053\u308c\u304c\u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u306e\u9045\u3055\u306e\u672c\u8cea\u3002<\/li>\n
                          • \u30b9\u30ef\u30c3\u30d7\u6570\u3060\u3051\u304c\u5165\u529b\u306b\u4f9d\u5b58<\/strong>\uff1a\u6574\u5217\u5ea6\u304c\u4e0a\u304c\u308b\u307b\u3069\u6e1b\u5c11\u3002<\/li>\n
                          • \u6700\u826f\u30b1\u30fc\u30b9\u3067\u3082\u6bd4\u8f03\u306f O(n)<\/strong>\uff1a\u8ee2\u5012\u304c\u7121\u304f\u3066\u3082 n\u22121 \u56de\u306f\u5fc5\u8981\u3002<\/li>\n
                          • \u5b9f\u52d9\u30a4\u30f3\u30d1\u30af\u30c8<\/strong>\uff1a\u6bd4\u8f03\u30b3\u30b9\u30c8\u304c\u652f\u914d\u7684\u306a CPU \u30d0\u30a6\u30f3\u30c9\u51e6\u7406\u3067\u306f n \u226b 1000 \u3067\u81f4\u547d\u7684\u3002<\/li>\n
                          • \u5b66\u7fd2\u4fa1\u5024<\/strong>\uff1a\u6bd4\u8f03\u30fb\u4ea4\u63db\u30ab\u30a6\u30f3\u30bf\u3092\u81ea\u529b\u3067\u5b9f\u88c5\u3057\u8a08\u6e2c\u3059\u308b\u3053\u3068\u3067\u3001\u8a08\u7b97\u91cf\u304c\u201c\u898b\u3048\u308b\u5316\u201d\u3055\u308c\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u9078\u629e\u773c\u304c\u990a\u308f\u308c\u308b\u3002
                            \n\u3053\u308c\u3089\u306e\u4e8b\u5b9f\u304b\u3089\u3001\u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u306f \u6559\u6750\u30fb\u5c0f\u898f\u6a21\u30fb\u307b\u307c\u6574\u5217\u6e08\u307f<\/strong> \u306b\u7684\u3092\u7d5e\u308a\u3001\u305d\u306e\u4ed6\u306e\u5834\u9762\u3067\u306f\u30af\u30a4\u30c3\u30af\u30bd\u30fc\u30c8\u3084 Timsort \u3078\u4e57\u308a\u63db\u3048\u308b\u306e\u304c\u30d7\u30ed\u306e\u5b9a\u77f3\u3068\u8a00\u3048\u308b\u3002<\/li>\n<\/ul>\n
                            4-2.\u6700\u60aa\u30fb\u5e73\u5747\u8a08\u7b97\u91cf<\/h3>\n
                            \u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u306e\u6700\u60aa\u30fb\u5e73\u5747\u8a08\u7b97\u91cf\u306f O(n\u00b2)<\/strong> \u3067\u3042\u308a\u3001\u6bd4\u8f03\u56de\u6570\u306f\u6700\u5927\u3067\u3082\u5e73\u5747\u3067\u3082 n(n \u2212 1)\/2<\/em>\u3001\u4ea4\u63db\u56de\u6570\u306f\u5165\u529b\u306e\u8ee2\u5012\u6570\uff08\u9006\u9806\u3067\u6700\u5927 n(n \u2212 1)\/2<\/em>\u3001\u6574\u5217\u6e08\u307f\u3067 0\uff09\u306b\u6bd4\u4f8b\u3057\u307e\u3059\u3002<\/p>\n
                            \u3053\u308c\u306f\u300c\u5916\u5074\u30eb\u30fc\u30d7\u3067\u672a\u6574\u5217\u533a\u9593\u3092 1 \u305a\u3064\u7e2e\u3081\u3001\u5185\u5074\u30eb\u30fc\u30d7\u3067\u96a3\u63a5\u30da\u30a2\u3092\u3059\u3079\u3066\u6bd4\u8f03\u3059\u308b\u300d\u3068\u3044\u3046\u69cb\u9020\u305d\u306e\u3082\u306e\u306b\u8d77\u56e0\u3057\u3001\u3069\u306e\u5b9f\u88c5\u8a00\u8a9e\u3067\u3082\u8ffd\u52a0\u30e1\u30e2\u30ea\u306f\u5b9a\u6570 O(1)\u3002<\/p>\n
                            \u53ef\u8996\u5316\u30c4\u30fc\u30eb\u3084\u8b1b\u7fa9\u8cc7\u6599\u3067\u3082 n\u00b2 \u306e\u4f38\u3073\u304c\u5b9f\u6e2c\u30fb\u7406\u8ad6\u306e\u4e21\u9762\u304b\u3089\u78ba\u8a8d\u3055\u308c\u3066\u304a\u308a\u3001\u5b9f\u52d9\u3067\u306f n \u226b 10\u00b3 \u3067\u81f4\u547d\u7684\u306a\u6027\u80fd\u52a3\u5316\u3092\u62db\u304f\u305f\u3081\u3001\u3088\u308a\u9ad8\u901f\u306a\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3078\u306e\u4e57\u308a\u63db\u3048\u304c\u63a8\u5968\u3055\u308c\u307e\u3059\u3002<\/p>\n
                            \n
                            \u7d50\u8ad6<\/h3>\n
                              \n
                            • \u6700\u60aa\u8a08\u7b97\u91cf<\/strong>\uff1a\u4e71\u9806\u30fb\u9006\u9806\u5165\u529b\u3067\u306f\u6bd4\u8f03\u30fb\u4ea4\u63db\u3068\u3082\u306b n(n \u2212 1)\/2<\/em> \u56de \u2192 O(n\u00b2)<\/strong>\u3002<\/li>\n
                            • \u5e73\u5747\u8a08\u7b97\u91cf<\/strong>\uff1a\u5168\u5165\u529b\u5e73\u5747\u3067\u3082\u540c\u69d8\u306b\u4e8c\u6b21\u5f0f\u3078\u53ce\u675f \u2192 O(n\u00b2)<\/strong>\u3002<\/li>\n
                            • \u8981\u56e0<\/strong>\uff1a\u4e8c\u91cd\u30eb\u30fc\u30d7\u304c\u7b49\u5dee\u6570\u5217\u3067\u6bd4\u8f03\u3092\u5b9f\u884c\u3001\u5b9a\u6570\u30e1\u30e2\u30ea\u3067\u30a4\u30f3\u30d7\u30ec\u30fc\u30b9\u3002<\/li>\n
                            • \u5b9f\u52d9\u5f71\u97ff<\/strong>\uff1an \u304c\u6570\u5343\uff5e\u767e\u4e07\u898f\u6a21\u306b\u306a\u308b\u3068\u79d2\uff5e\u6642\u9593\u5358\u4f4d\u306e\u9045\u5ef6\u304c\u767a\u751f\u3002<\/li>\n<\/ul>\n
                              \n
                              \u7406\u7531\u30fb\u6839\u62e0<\/h3>\n
                              \n\n\n\n\n\n\n\n\n\n\n\n\n\n
                              \u51fa\u5178<\/th>\n\u6307\u6458\u5185\u5bb9<\/th>\n\u95a2\u9023\u30dd\u30a4\u30f3\u30c8<\/th>\n<\/tr>\n<\/thead>\n
                              NIST DADS<\/strong><\/td>\n\u201cComplexity is O(n\u00b2) for arbitrary data\u201d \u3068\u660e\u8a18<\/td>\n\u516c\u7684\u8f9e\u66f8\u306b\u3088\u308b\u5b9a\u7fa9<\/td>\n<\/tr>\n
                              GeeksforGeeks<\/strong><\/td>\n\u201cWorst & average time: O(n\u00b2). Comparisons: n(n\u22121)\/2\u201d<\/td>\n\u6559\u6750\u30b5\u30a4\u30c8<\/td>\n<\/tr>\n
                              Wikipedia<\/strong><\/td>\nPerformance\u9805\u306b O(n\u00b2)\uff0fO(n\u00b2)\uff0fO(n) \u3092\u8868\u3067\u63b2\u8f09<\/td>\n\u4e00\u822c\u5411\u3051\u767e\u79d1<\/td>\n<\/tr>\n
                              VisuAlgo<\/strong><\/td>\n\u30a2\u30cb\u30e1\u3068 \u201cBubble Sort is inefficient with O(N\u00b2)\u201d \u306e\u6ce8\u8a18<\/td>\n\u53ef\u8996\u5316\u30c4\u30fc\u30eb<\/td>\n<\/tr>\n
                              MIT OCW<\/strong><\/td>\nLecture 12\/24 \u30b9\u30e9\u30a4\u30c9\u3067 \u201c4 + 3 + \u2026 + 1 = n(n\u22121)\/2\u201d \u3092\u677f\u66f8<\/td>\n\u5927\u5b66\u8b1b\u7fa9<\/td>\n<\/tr>\n
                              Princeton ALG4 Cheatsheet<\/strong><\/td>\nBubble row: best n<\/em>, avg\/worst \u00bd n\u00b2 compares<\/td>\n\u5b66\u8853\u30c6\u30ad\u30b9\u30c8<\/td>\n<\/tr>\n
                              Stack Overflow<\/strong><\/td>\n\u300c\u6bd4\u8f03\u306f\u5e38\u306b n(n\u22121)\/2 \u56de\u3001swap \u306f\u8ee2\u5012\u6570\u6b21\u7b2c\u300d\u3068\u89e3\u8aac<\/td>\n\u5b9f\u88c5\u8005 Q&A<\/td>\n<\/tr>\n
                              VisuAlgo (Slide 6)<\/strong><\/td>\nf(100 000)=2 \u00d7 10\u2075\u00b2<\/em> \u3068\u8a08\u7b97\u4f8b\u3092\u63d0\u793a<\/td>\n\u5927\u898f\u6a21\u5165\u529b\u306e\u8a66\u7b97<\/td>\n<\/tr>\n
                              Medium \u5b9f\u6e2c\u8a18\u4e8b<\/strong><\/td>\n\u9006\u9806\u30fb\u4e71\u9806\u3067\u633f\u5165\u3088\u308a\u9045\u304f n\u00b2 \u3092\u5b9f\u6e2c\u30b0\u30e9\u30d5\u5316<\/td>\n\u30d9\u30f3\u30c1\u30de\u30fc\u30af<\/td>\n<\/tr>\n
                              SO \u8a08\u7b97\u4f8b<\/strong><\/td>\n10\u2076 \u8981\u7d20\u3067\u7d04 10\u00b9\u00b2 \u64cd\u4f5c\u2192\u7d04 1.4 h \u3068\u8a66\u7b97<\/td>\n\u5b9f\u52d9\u4e0a\u306e\u9045\u5ef6<\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n
                              \n
                              \u5b9f\u4f8b<\/h3>\n
                              \n\n\n\n\n\n\n
                              \u5165\u529b (n=5)<\/th>\n\u6bd4\u8f03\u6570<\/th>\n\u4ea4\u63db\u6570<\/th>\n\u65e9\u671f\u7d42\u4e86\u6709\u7121<\/th>\n\u5099\u8003<\/th>\n<\/tr>\n<\/thead>\n
                              5 4 3 2 1<\/code><\/td>\n10<\/td>\n10<\/td>\n\u7121<\/td>\n\u6700\u60aa\u30b1\u30fc\u30b9<\/td>\n<\/tr>\n
                              1 2 3 4 5<\/code><\/td>\n4 \u2020<\/td>\n0<\/td>\n\u6709<\/td>\n\u6700\u826f\u30b1\u30fc\u30b9\uff1bn\u22121 \u6bd4\u8f03<\/td>\n<\/tr>\n
                              1 5 2 3 4<\/code><\/td>\n10<\/td>\n4<\/td>\n\u7121<\/td>\n\u6bd4\u8f03\u56fa\u5b9a\u30fbswap \u6e1b\u5c11<\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n
                              \u2020\u7d14\u7c8b\u7248\uff08\u30d5\u30e9\u30b0\u306a\u3057\uff09\u3067\u306f 10 \u6bd4\u8f03\u3002VisuAlgo \u306e\u30ab\u30a6\u30f3\u30bf\u8868\u793a\u3067\u78ba\u8a8d\u53ef\u3002<\/p>\n
                              \u5927\u898f\u6a21\u691c\u8a3c<\/strong><\/p>\n
                                \n
                              • C++ \u5b9f\u88c5\u3067 10\u2076 \u4ef6\u3092\u9006\u9806\u30bd\u30fc\u30c8\uff1a\u7406\u8ad6 5 \u00d7 10\u00b9\u00b9 \u6bd4\u8f03\u3001\u5b9f\u6e2c 83 \u5206\u7a0b\u5ea6\u3068\u306e\u5831\u544a\u3002<\/li>\n
                              • Python \u30c6\u30b9\u30c8 (GfG \u30b5\u30f3\u30d7\u30eb) \u3067 10\u2075 \u4ef6\uff1a\u65e9\u671f\u7d42\u4e86\u306a\u3057\u3067 200 \u79d2\u524d\u5f8c\u3001QuickSort \u306f \u22480.2 \u79d2\u3002<\/li>\n<\/ul>\n
                                \n
                                \u7d50\u8ad6\uff08\u307e\u3068\u3081\uff09<\/h3>\n
                                  \n
                                1. \u6700\u60aa\u30fb\u5e73\u5747\u3068\u3082 O(n\u00b2)<\/strong>\u2014\u4e8c\u91cd\u30eb\u30fc\u30d7\u3067\u6bd4\u8f03\u56de\u6570\u304c\u56fa\u5b9a\u7684\u306b\u4e8c\u6b21\u5f0f\u3078\u81a8\u5f35\u3059\u308b\u3002<\/li>\n
                                2. \u6bd4\u8f03\u56de\u6570\u306f\u5165\u529b\u5206\u5e03\u306b\u4f9d\u5b58\u3057\u306a\u3044<\/strong>\uff1b\u30b9\u30ef\u30c3\u30d7\u306e\u307f\u304c\u6574\u5217\u5ea6\u3067\u5909\u52d5\u3002<\/li>\n
                                3. \u5b9f\u52d9\u3067\u306f n \u2265 10\u00b3 \u3067\u81f4\u547d\u7684\u9045\u5ef6<\/strong>\u3002\u6559\u80b2\u30fb\u5c0f\u898f\u6a21\u30fb\u307b\u307c\u6574\u5217\u6e08\u307f\u30fb\u5b89\u5b9a\u6027\u5fc5\u9808\u306e\u5c40\u6240\u7528\u9014\u306b\u9650\u5b9a\u3057\u3001\u305d\u308c\u4ee5\u5916\u306f Timsort\uff0fQuickSort \u7b49\u3078\u79fb\u884c\u3059\u308b\u306e\u304c\u30d7\u30ed\u306e\u6700\u9069\u89e3\u3002<\/li>\n<\/ol>\n
                                  \u3053\u306e n\u00b2 \u306e\u58c1\u3092\u5b9f\u6e2c\u3067\u4f53\u611f\u3057\u3001\u53ef\u8996\u5316\u3067\u69cb\u9020\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u3053\u305d\u304c\u3001\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u9078\u629e\u773c\u3092\u990a\u3046\u7b2c\u4e00\u6b69\u3067\u3042\u308b\u3002<\/p>\n
                                  5.\u624b\u9806<\/h2>\n
                                  5-1.\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u624b\u9806<\/h3>\n
                                  \u7d50\u8ad6<\/h3>\n
                                  \u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u624b\u9806\u306f \u300c\u672a\u6574\u5217\u533a\u9593\u306e\u672b\u5c3e\u3092\u7e2e\u3081\u306a\u304c\u3089\u3001\u96a3\u63a5\u8981\u7d20\u3092\u6bd4\u8f03\u3057\u3066\u5fc5\u8981\u306a\u3089\u4ea4\u63db\u3059\u308b\u300d<\/strong> \u2014\u2014\u3053\u306e\u4e8c\u91cd\u30eb\u30fc\u30d7\u3060\u3051\u3067\u5b8c\u7d50\u3059\u308b\u3002<\/p>\n
                                  \u5916\u5074\u30eb\u30fc\u30d7\u304c\u30d1\u30b9\uff08\uff1d\u8d70\u67fb\u56de\uff09\u3092\u7ba1\u7406\u3057\u3001\u5185\u5074\u30eb\u30fc\u30d7\u304c\u6bd4\u8f03\u3068\u4ea4\u63db\u3092\u62c5\u5f53\u3059\u308b\u305f\u3081\u3001\u6700\u60aa\u30fb\u5e73\u5747\u3067 n(n \u2212 1)\/2<\/em> \u56de\u306e\u6bd4\u8f03\u304c\u767a\u751f\u3057\u8a08\u7b97\u91cf\u306f O(n\u00b2)<\/strong> \u306b\u306a\u308b\u3002<\/p>\n
                                  \u65e9\u671f\u7d42\u4e86\u5224\u5b9a\u3092\u5165\u308c\u308c\u3070\u6700\u826f\u30b1\u30fc\u30b9\u306f O(n)<\/strong> \u307e\u3067\u77ed\u7e2e\u3067\u304d\u3001\u307b\u307c\u6574\u5217\u6e08\u307f\u30c7\u30fc\u30bf\u3067\u306f\u5b9f\u7528\u306b\u306a\u308b\u3002<\/p>\n
                                  \n
                                  \u7406\u7531\u30fb\u6839\u62e0<\/h3>\n
                                  \n\n\n\n\n\n\n\n\n\n\n\n\n\n
                                  \u30b9\u30c6\u30c3\u30d7<\/th>\n\u516c\u7684\u30fb\u5b66\u8853\u7684\u6839\u62e0<\/th>\n\u30dd\u30a4\u30f3\u30c8<\/th>\n<\/tr>\n<\/thead>\n
                                  \u2460 \u672a\u6574\u5217\u533a\u9593\u3092\u8a2d\u5b9a\uff08\u672b\u5c3e n\u22121\uff09<\/strong><\/td>\nNIST DADS \u304c\u300c\u30d1\u30b9\u3054\u3068\u306b\u5883\u754c\u3092 1 \u305a\u3064\u7e2e\u3081\u308b\u300d\u3068\u5b9a\u7fa9<\/td>\n\u5916\u5074\u30eb\u30fc\u30d7\u56de\u6570\u306f n\u22121<\/td>\n<\/tr>\n
                                  \u2461 \u96a3\u63a5\u8981\u7d20\u3092\u6bd4\u8f03<\/strong><\/td>\nGeeksforGeeks \u306f\u5404\u30d1\u30b9\u3067 \u201cn\u2212\u30d1\u30b9\u201d \u56de\u6bd4\u8f03\u3068\u89e3\u8aac<\/td>\n\u8a08\u7b97\u91cf\u306e\u4e3b\u56e0<\/td>\n<\/tr>\n
                                  \u2462 \u5927\u5c0f\u304c\u9006\u306a\u3089\u4ea4\u63db<\/strong><\/td>\nMEXT\u300c\u60c5\u5831\u2160\u300d\u5b9f\u8df5\u4e8b\u4f8b\uff08\u5ca9\u624b\u770c\uff09\u3067\u4e00\u6642\u5909\u6570\u3092\u7528\u3044\u305f\u4ea4\u63db\u3092\u6307\u5c0e<\/td>\n\u30e1\u30e2\u30ea O(1)<\/td>\n<\/tr>\n
                                  \u2463 \u5185\u5074\u30eb\u30fc\u30d7\u5b8c\u4e86\u3067\u672b\u5c3e\u78ba\u5b9a<\/strong><\/td>\nVisuAlgo \u306e\u30a2\u30cb\u30e1\u306f\u30d0\u30fc\u304c\u53f3\u7aef\u306b\u201c\u6d6e\u4e0a\u201d\u3057\u3066\u78ba\u5b9a\u3059\u308b\u69d8\u5b50\u3092\u8868\u793a<\/td>\n\u53ef\u8996\u5316\u3067\u76f4\u611f\u7684\u7406\u89e3<\/td>\n<\/tr>\n
                                  \u2464 \u4ea4\u63db\u30bc\u30ed\u306a\u3089\u7d42\u4e86<\/strong><\/td>\nStack Overflow \u306f\u300cearly escape \u3067\u6700\u826f O(n)\u300d\u3068\u63a8\u5968<\/td>\n\u4e71\u308c\u304c\u5c11\u306a\u3044\u914d\u5217\u3067\u6709\u52b9<\/td>\n<\/tr>\n
                                  \u2465 \u30d1\u30b9\u56de\u6570\uff1dn\u22121 \u3067\u5fc5\u305a\u6574\u5217<\/strong><\/td>\nMIT OCW Lecture 12 \u304c 5 \u8981\u7d20\u3067 4+3+2+1 \u6bd4\u8f03\u3092\u9ed2\u677f\u8a08\u7b97<\/td>\n\u7b49\u5dee\u6570\u5217\u306e\u548c\uff1dn(n\u22121)\/2<\/td>\n<\/tr>\n
                                  \u2466 \u6642\u9593\u8a08\u7b97\u91cf = O(n\u00b2)<\/strong><\/td>\nWikipedia & Princeton Cheatsheet \u5171\u306b\u6700\u60aa\u30fb\u5e73\u5747 O(n\u00b2) \u3068\u660e\u793a<\/td>\n\u4e8c\u91cd\u30eb\u30fc\u30d7\u304c\u539f\u56e0<\/td>\n<\/tr>\n
                                  \u2467 \u7a7a\u9593\u8a08\u7b97\u91cf = O(1)<\/strong><\/td>\nPrinceton Lecture 3 \u3067\u300cN+O(1) \u306e in-place\u300d\u3068\u5206\u985e<\/td>\n\u8ffd\u52a0\u30e1\u30e2\u30ea\u306f\u5b9a\u6570<\/td>\n<\/tr>\n
                                  \u2468 \u5b89\u5b9a\u30bd\u30fc\u30c8\u3067\u3042\u308b<\/strong><\/td>\nNIST DADS \u304c \u201cstable\u201d \u3068\u660e\u8a18<\/td>\n\u91cd\u8907\u30ad\u30fc\u9806\u304c\u4fdd\u305f\u308c\u308b<\/td>\n<\/tr>\n
                                  \u2469 \u6559\u80b2\u7528\u9014\u3067\u5fc5\u4fee<\/strong><\/td>\nAP CS A \u6559\u6750\u306b bubble\/selection\/insertion \u304c\u4e26\u5217\u63b2\u8f09<\/td>\n\u5b66\u7fd2\u52b9\u679c\u304c\u9ad8\u3044<\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n
                                  \n
                                  \u5b9f\u4f8b<\/h3>\n
                                  def bubble_sort(arr):\r\n    n = len(arr)\r\n    for end in range(n-1, 0, -1):       # \u2460 \u672a\u6574\u5217\u533a\u9593\u3092\u7e2e\u3081\u308b\r\n        swapped = False\r\n        for i in range(end):            # \u2461 \u96a3\u63a5\u6bd4\u8f03\r\n            if arr[i] > arr[i+1]:       # \u2462 \u6761\u4ef6\u5224\u5b9a\r\n                arr[i], arr[i+1] = arr[i+1], arr[i]  # \u2462 \u4ea4\u63db\uff08O(1)\uff09\r\n                swapped = True\r\n        if not swapped:                 # \u2464 \u65e9\u671f\u7d42\u4e86\r\n            break\r\n<\/code><\/pre>\n
                                    \n
                                  • \u6bd4\u8f03\u30ab\u30a6\u30f3\u30bf\u306e\u8a08\u6e2c<\/strong>
                                    \nMIT OCW \u3068\u540c\u3058 5 \u8981\u7d20 [5,4,3,2,1]<\/code> \u3092\u5165\u529b\u3059\u308b\u3068\u6bd4\u8f03 10 \u56de\u30fb\u4ea4\u63db 10 \u56de\u3067\u6574\u5217\u3057\u3001\u7406\u8ad6\u5024 n(n \u2212 1)\/2<\/em> = 10 \u3068\u4e00\u81f4\u3059\u308b\u3002<\/li>\n
                                  • \u65e9\u671f\u7d42\u4e86\u52b9\u679c<\/strong>
                                    \n\u307b\u307c\u6574\u5217\u6e08\u307f [1,2,3,5,4]<\/code> \u306f 1 \u30d1\u30b9\uff0b4 \u6bd4\u8f03\u3067\u7d42\u4e86\u3057\u3001Stack Overflow \u306e\u52a9\u8a00\u3069\u304a\u308a n \u6bd4\u8f03\u3067\u6e08\u3080\u3002<\/li>\n<\/ul>\n
                                    \n
                                    \u7d50\u8ad6\uff08\u307e\u3068\u3081\uff09<\/h3>\n
                                    \u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u624b\u9806\u306f \u5916\u5074\u30eb\u30fc\u30d7\u3067\u5883\u754c\u3092\u7e2e\u3081\u3001\u5185\u5074\u30eb\u30fc\u30d7\u3067\u96a3\u63a5\u6bd4\u8f03\u3068\u4ea4\u63db\u3092\u884c\u3046<\/strong> \u2014\u2014\u3053\u306e 6 \u301c 7 \u884c\u306e\u64ec\u4f3c\u30b3\u30fc\u30c9\u3060\u3051\u3067\u5b9f\u88c5\u3067\u304d\u3001\u8ffd\u52a0\u30e1\u30e2\u30ea\u306f\u5b9a\u6570 O(1)<\/strong>\u3001\u91cd\u8907\u30ad\u30fc\u3092\u58ca\u3055\u306a\u3044 \u5b89\u5b9a<\/strong> \u30bd\u30fc\u30c8\u3067\u3042\u308b\u3002<\/p>\n
                                    \u4e00\u65b9\u3001\u6bd4\u8f03\u56de\u6570\u56fa\u5b9a\u306e\u4e8c\u91cd\u30eb\u30fc\u30d7\u304c\u6700\u60aa\u30fb\u5e73\u5747 O(n\u00b2)<\/strong> \u306e\u30dc\u30c8\u30eb\u30cd\u30c3\u30af\u3068\u306a\u308b\u305f\u3081\u3001\u9069\u7528\u306f\u300c\u6559\u80b2\u30fb\u5c0f\u898f\u6a21\u30fb\u307b\u307c\u6574\u5217\u6e08\u307f\u30fb\u5b89\u5b9a\u6027\u5fc5\u9808\u300d<\/strong> \u306b\u7d5e\u308a\u3001\u305d\u308c\u4ee5\u5916\u306f Timsort \u3084 Quicksort \u3078\u4e57\u308a\u63db\u3048\u308b\u306e\u304c\u30d7\u30ed\u306e\u6a19\u6e96\u5224\u65ad\u3067\u3042\u308b\u3002<\/p>\n
                                    \u307e\u3068\u3081<\/h2>\n
                                    \u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u306f \u300c\u66f8\u304d\u3084\u3059\u3044\u30fb\u5b89\u5b9a ( stable )\u30fb\u5b9a\u6570\u30e1\u30e2\u30ea (O (1))\u300d<\/strong> \u3068\u3044\u3046\u5f37\u307f\u3068\u3001\u5e73\u5747\u30fb\u6700\u60aa\u8a08\u7b97\u91cf O (n\u00b2)<\/strong> \u3068\u3044\u3046\u5f31\u307f\u304c\u8868\u88cf\u4e00\u4f53\u3067\u3042\u308b\u3053\u3068\u3092\u5b66\u3073\u30fb\u5b9f\u52d9\u4e21\u9762\u306e\u30c7\u30fc\u30bf\u304c\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n
                                    \u3053\u3053\u3067\u306f\u8a18\u4e8b\u5168\u4f53\u3092\u4fef\u77b0\u3057\u3001\u8981\u70b9\u3092\u51dd\u7e2e\u3057\u3066\u307e\u3068\u3081\u307e\u3059\u3002<\/p>\n
                                    \n
                                    \u7d50\u8ad6<\/h3>\n
                                      \n
                                    • \u6559\u80b2\u30fb\u7814\u4fee\u3067\u306f\u4f9d\u7136\u201c\u5fc5\u4fee\u201d<\/strong>\uff1aMIT OCW \u3084 AP Computer Science A \u306a\u3069\u4e3b\u8981\u30ab\u30ea\u30ad\u30e5\u30e9\u30e0\u304c\u5b9f\u88c5\u30fb\u6bd4\u8f03\u8ab2\u984c\u306b\u63a1\u7528\u3057\u3066\u3044\u308b\u3002<\/li>\n
                                    • \u5b9f\u88c5\u306f\u6700\u77ed 5 \u301c 10 \u884c\u3001\u8ffd\u52a0\u30e1\u30e2\u30ea\u306f\u5b9a\u6570<\/strong>\uff1aNIST DADS \u304c \u201cin-place, stable\u201d \u3068\u5b9a\u7fa9\u3002<\/li>\n
                                    • \u6027\u80fd\u306f n\u00b2 \u304c\u5f8b\u901f<\/strong>\uff1a\u7406\u8ad6\u6bd4\u8f03\u56de\u6570\u306f n(n \u2212 1)\/2 \u2015\u2015 GeeksforGeeks \u304c\u516c\u5f0f\u5c0e\u51fa\u3057\u3001VisuAlgo \u304c\u53ef\u8996\u5316\u3067\u88cf\u4ed8\u3051\u3002<\/li>\n
                                    • \u65e9\u671f\u7d42\u4e86\u3067\u6700\u826f O (n) \u306b\u306f\u306a\u308b\u304c<\/strong>\u3001\u5e73\u5747\u30fb\u6700\u60aa\u306f\u6539\u5584\u3055\u308c\u305a\u3001\u5927\u898f\u6a21\u30c7\u30fc\u30bf\u3067\u306f Timsort\uff0fQuicksort \u3078\u79fb\u884c\u3059\u308b\u306e\u304c\u5b9a\u77f3\u3002<\/li>\n<\/ul>\n
                                      \n
                                      \u7406\u7531\u30fb\u6839\u62e0<\/h3>\n
                                      \n\n\n\n\n\n\n\n\n\n\n\n
                                      \u89b3\u70b9<\/th>\n\u6839\u62e0\u30fb\u4e00\u6b21\u60c5\u5831<\/th>\n\u89e3\u91c8<\/th>\n<\/tr>\n<\/thead>\n
                                      \u516c\u7684\u5b9a\u7fa9<\/strong><\/td>\nNIST DADS: Bubble Sort = \u201cin-place, stable sort\u201d<\/td>\n\u91cd\u8907\u30ad\u30fc\u9806\u3092\u4fdd\u6301\u3057\u8ffd\u52a0\u30e1\u30e2\u30ea\u4e0d\u8981<\/td>\n<\/tr>\n
                                      \u8a08\u7b97\u91cf\u516c\u5f0f<\/strong><\/td>\nGeeksforGeeks: \u6bd4\u8f03\u6570 = n(n\u22121)\/2 (\u6700\u60aa)<\/td>\n\u4e8c\u91cd\u30eb\u30fc\u30d7\u3067\u4e8c\u6b21\u5f0f\u306b\u81a8\u5f35<\/td>\n<\/tr>\n
                                      \u30ab\u30ea\u30ad\u30e5\u30e9\u30e0\u63a1\u7528<\/strong><\/td>\nMIT OCW Lecture 12 \/ 6.100L Lec 24<\/p>\n
                                      College Board AP CS A \u6559\u5e2b\u7528\u30ac\u30a4\u30c9<\/td>\n
                                      		\u5b66\u7fd2\u52b9\u679c\u306e\u9ad8\u3055\u304c\u7406\u7531<\/td>\n<\/tr>\n
                                      \u56fd\u5185\u6559\u80b2<\/strong><\/td>\n\u6587\u79d1\u7701\u300c\u60c5\u5831\u2160\u300d\u6559\u6750\u306b\u201c\u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u306e\u4ed5\u7d44\u307f\u201d\u63b2\u8f09<\/td>\n\u9ad8\u6821\u6bb5\u968e\u3067\u5fc5\u4fee<\/td>\n<\/tr>\n
                                      \u53ef\u8996\u5316\u8a3c\u62e0<\/strong><\/td>\nVisuAlgo: \u6bd4\u8f03\u30fb\u4ea4\u63db\u30ab\u30a6\u30f3\u30bf\u3092\u30ea\u30a2\u30eb\u30bf\u30a4\u30e0\u8868\u793a<\/td>\n\u7406\u8ad6\u3068\u6319\u52d5\u304c\u4e00\u81f4<\/td>\n<\/tr>\n
                                      \u5b9f\u52d9\u8005\u8b70\u8ad6<\/strong><\/td>\nStack Overflow: \u65e9\u671f\u7d42\u4e86\u3067\u3082 n\u00b2 \u306f\u6839\u672c\u6539\u5584\u3057\u306a\u3044\u3068\u8b70\u8ad6<\/td>\n\u5927\u898f\u6a21\u306b\u306f\u4e0d\u5411\u304d<\/td>\n<\/tr>\n
                                      \u6027\u80fd\u8b66\u544a<\/strong><\/td>\nBuilt In \u8a18\u4e8b: \u300c\u307b\u307c\u73fe\u5b9f\u7684\u3067\u306f\u306a\u3044\u901f\u5ea6\u300d<\/td>\n\u4ee3\u66ff\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u63a8\u5968<\/td>\n<\/tr>\n
                                      \u5b89\u5b9a\u6027\u306e\u4fa1\u5024<\/strong><\/td>\nNIST & Python docs (\u5b89\u5b9a\u30bd\u30fc\u30c8\u5f37\u8abf)<\/td>\n\u591a\u6bb5\u968e\u30bd\u30fc\u30c8\u3067\u6709\u5229<\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n
                                      \n
                                      \u5b9f\u4f8b<\/h3>\n
                                      \n\n\n\n\n\n\n
                                      \u30b7\u30fc\u30f3<\/th>\n\u8a73\u7d30<\/th>\n\u306a\u305c\u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u304b<\/th>\n<\/tr>\n<\/thead>\n
                                      \u9ad8\u6821\u6388\u696d<\/strong><\/td>\nMEXT \u6559\u6750\u3067\u201c\u4e00\u6642\u5909\u6570\u3092\u4f7f\u3063\u305f\u4ea4\u63db\u201d\u3092\u4f53\u9a13\u7684\u306b\u5b66\u7fd2<\/td>\n\u4e8c\u91cd\u30eb\u30fc\u30d7\u30fb\u6bd4\u8f03\u56de\u6570\u3092\u53ef\u8996\u5316<\/td>\n<\/tr>\n
                                      AP CS A \u6f14\u7fd2<\/strong><\/td>\n\u5404\u30d1\u30b9\u306e\u6bd4\u8f03\u6570\u3092\u30d7\u30ea\u30f3\u30c8\u30a2\u30a6\u30c8\u3057\u3066 n\u00b2 \u3092\u5b9f\u611f<\/td>\n\u8a08\u7b97\u91cf\u5206\u6790\u306e\u5c0e\u5165\u53e3<\/td>\n<\/tr>\n
                                      \u5c0f\u898f\u6a21 GUI \u30ea\u30b9\u30c8\u66f4\u65b0<\/strong><\/td>\n100 \u4ef6\u524d\u5f8c\u306e\u307b\u307c\u6574\u5217\u30ea\u30b9\u30c8\u3092\u65e9\u671f\u7d42\u4e86\u7248\u3067\u518d\u6574\u5217\uff08OSS \u30c1\u30e3\u30c3\u30c8\u5b9f\u88c5\u4e8b\u4f8b\u304c\u30b3\u30df\u30e5\u30cb\u30c6\u30a3\u3067\u5171\u6709\uff09<\/td>\nO(n) \u8fd1\u304f\u3067\u5b8c\u4e86\u30fb\u5b89\u5b9a\u6027\u4fdd\u6301<\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n
                                      \n
                                      \u7d50\u8ad6\uff08\u307e\u3068\u3081\uff09<\/h3>\n
                                        \n
                                      1. \u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\uff1d\u201c\u7406\u89e3\u3057\u3084\u3059\u3055\u201d\u306e\u4ee3\u540d\u8a5e<\/strong>\u3002\u516c\u7684\u30fb\u5b66\u8853\u7684\u8cc7\u6599\u304c\u53e3\u3092\u63c3\u3048\u3066 n\u00b2 \u306e\u9045\u3055\u3092\u6307\u6458\u3057\u3064\u3064\u3082\u3001\u6559\u80b2\u4fa1\u5024\u3068\u5b89\u5b9a\u30fb\u30a4\u30f3\u30d7\u30ec\u30fc\u30b9\u306e\u7279\u6027\u304b\u3089\u4eca\u3082\u5fc5\u4fee\u6559\u6750\u3068\u3057\u3066\u6b8b\u3063\u3066\u3044\u308b\u3002<\/li>\n
                                      2. \u8a08\u7b97\u91cf\u306f\u907f\u3051\u304c\u305f\u3044\u58c1<\/strong>\uff1a\u7406\u8ad6\u3082\u5b9f\u6e2c\u3082 n\u00b2 \u304c\u652f\u914d\u7684\u3067\u300110\u2074 \u4ef6\u3092\u8d85\u3048\u308b\u3068\u5b9f\u52d9\u3067\u306f\u81f4\u547d\u7684\u9045\u5ef6\u3002<\/li>\n
                                      3. \u9069\u6750\u9069\u6240\u3067\u5149\u308b<\/strong>\uff1a\u307b\u307c\u6574\u5217\u6e08\u307f\u30fb\u5c0f\u898f\u6a21\u30c7\u30fc\u30bf\u30fb\u91cd\u8907\u30ad\u30fc\u4fdd\u6301\u306a\u3069\u3001\u4ed6\u7b97\u6cd5\u306e\u524d\u51e6\u7406\u3084 GUI \u5c40\u6240\u66f4\u65b0\u3067\u306f\u4f9d\u7136\u5065\u5728\u3002<\/li>\n<\/ol>\n
                                        \u8981\u3059\u308b\u306b<\/strong>\u2015\u2015\u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u306f\u300c\u307e\u305a\u52d5\u304b\u3059\u30fb\u8a08\u6e2c\u3057\u3066\u30dc\u30c8\u30eb\u30cd\u30c3\u30af\u3092\u77e5\u308b\u300d\u305f\u3081\u306e\u6700\u9ad8\u306e\u8e0f\u307f\u53f0\u3067\u3042\u308a\u3001\u58c1\u3092\u4e57\u308a\u8d8a\u3048\u308b\u305f\u3081\u306b\u3053\u305d\u5b66\u3076\u4fa1\u5024\u304c\u3042\u308b\u3002<\/p><\/blockquote>\n
                                        <\/h2>\n","protected":false},"excerpt":{"rendered":"1.\u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u3068\u306f 1-1.\u6982\u8981 \u7d50\u8ad6 \u30d0\u30d6\u30eb\u30bd\u30fc\u30c8\u306f \u6700\u3082\u30b7\u30f3\u30d7\u30eb\u306a\u6bd4\u8f03\u30bd\u30fc\u30c8 \u3067\u3042\u308a\u3001\u96a3\u63a5\u8981\u7d20\u3092\u4ea4\u63db\u3057\u306a\u304c\u3089\u30c7\u30fc\u30bf\u3092\u6574\u5217\u3055\u305b\u308b \u5b89\u5b9a\u30fb\u30a4\u30f3\u30d7\u30ec\u30fc\u30b9 \u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3042\u308b\u3002 \u4e00\u65b9\u3067\u5e73\u5747\u30fb\u6700\u60aa\u8a08\u7b97\u91cf\u306f O(n\u00b2) \u3068\u9ad8\u304f […]","protected":false},"author":1,"featured_media":299,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-295","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-3"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.iso-g.com\/index.php\/wp-json\/wp\/v2\/posts\/295","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.iso-g.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.iso-g.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.iso-g.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.iso-g.com\/index.php\/wp-json\/wp\/v2\/comments?post=295"}],"version-history":[{"count":3,"href":"https:\/\/www.iso-g.com\/index.php\/wp-json\/wp\/v2\/posts\/295\/revisions"}],"predecessor-version":[{"id":750,"href":"https:\/\/www.iso-g.com\/index.php\/wp-json\/wp\/v2\/posts\/295\/revisions\/750"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.iso-g.com\/index.php\/wp-json\/wp\/v2\/media\/299"}],"wp:attachment":[{"href":"https:\/\/www.iso-g.com\/index.php\/wp-json\/wp\/v2\/media?parent=295"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.iso-g.com\/index.php\/wp-json\/wp\/v2\/categories?post=295"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.iso-g.com\/index.php\/wp-json\/wp\/v2\/tags?post=295"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}