{"id":543,"date":"2017-02-22T13:13:47","date_gmt":"2017-02-22T05:13:47","guid":{"rendered":"http:\/\/yaochenkun.site\/?p=543"},"modified":"2024-11-23T15:36:24","modified_gmt":"2024-11-23T07:36:24","slug":"simplesort_article","status":"publish","type":"post","link":"http:\/\/yaochenkun.site\/index.php\/2017\/02\/22\/simplesort_article\/","title":{"rendered":"\u6392\u5e8f1-\u7b80\u5355\u6392\u5e8f\u7b97\u6cd5"},"content":{"rendered":"\n<h3 class=\"wp-block-heading\">\u5f15\u8a00<\/h3>\n\n\n\n<p>\u6392\u5e8f\u662f\u8ba1\u7b97\u673a\u5185\u7ecf\u5e38\u8fdb\u884c\u7684\u4e00\u79cd\u64cd\u4f5c\uff0c\u5176\u76ee\u7684\u662f\u5c06\u4e00\u7ec4\u201c\u65e0\u5e8f\u201d\u7684\u8bb0\u5f55\u5e8f\u5217\u8c03\u6574\u4e3a\u201c\u6709\u5e8f\u201d\u7684\u8bb0\u5f55\u5e8f\u5217\uff0c\u5b83\u5728\u5927\u5927\u5c0f\u5c0f\u7684\u7a0b\u5e8f\u4e2d\u90fd\u6709\u4e00\u5b9a\u7684\u5e94\u7528\u3002\u672c\u6587\u5148\u4ecb\u7ecd4\u79cd\u7b80\u5355\u6392\u5e8f\u7b97\u6cd5\uff0c\u5e76\u7ed9\u51fa\u4ed6\u4eec\u5404\u81ea\u7684\u6539\u8fdb\u5b9e\u73b0\uff0c\u5173\u4e8e\u6548\u7387\u7684\u5bf9\u6bd4\u5c06\u5728<span style=\"color: #7cc576;\"><a style=\"color: #7cc576;\" href=\"http:\/\/yaochenkun.site\/index.php\/2017\/02\/22\/sortefficiency_article\/\">\u6392\u5e8f(3)-\u6548\u7387\u5bf9\u6bd4<\/a><\/span>\u4e00\u6587\u4e2d\u7ed9\u51fa\u3002\u672c\u6587\u76ee\u7684\u4e00\u65b9\u9762\u662f\u4e3a\u4e86\u65b9\u4fbf\u540e\u7eed\u67e5\u9605\uff0c\u53e6\u4e00\u65b9\u9762\u5219\u662f\u5e0c\u671b\u900f\u8fc7\u6392\u5e8f\u8fd9\u79cd\u7b80\u5355\u64cd\u4f5c\uff0c\u5206\u6790\u5404\u7c7b\u7b97\u6cd5\u80cc\u540e\u5f15\u7533\u51fa\u7684\u4e0d\u7b80\u5355\u7684\u601d\u60f3\uff0c\u7ed9\u51fa\u4e00\u4e9b\u4e2a\u4eba\u6d45\u663e\u7684\u89c1\u89e3\u3002<\/p>\n\n\n\n<p>\u672c\u6587\u8bbe\u7f6e\u4e86\u4e00\u4e9b\u7ea6\u5b9a\uff1a<\/p>\n\n\n\n<ul>\n<li>\u5347\u5e8f\uff1a\u6309\u4ece\u5c0f\u5230\u5927\u7684\u987a\u5e8f\u6392\u5e8f<\/li>\n\n\n\n<li>\u5e8f\u5217\uff1a\u7b80\u5355\u62bd\u8c61\u4e3aint[] seq\u7684\u6570\u7ec4\u8868\u793a<\/li>\n\n\n\n<li>\u5143\u7d20\uff1a\u6307\u5e8f\u5217\u7684\u539f\u5b50\u6210\u5206\u5373seq[i]<\/li>\n\n\n\n<li>\u4e0b\u6807\uff1a\u6307\u5143\u7d20\u5728\u5e8f\u5217\u4e2d\u6240\u5904\u4f4d\u7f6e<\/li>\n\n\n\n<li>\u4ea4\u6362\u64cd\u4f5c\uff1a\u5143\u7d20\u4ea4\u6362\u662f\u4e2a\u901a\u7528\u64cd\u4f5c\uff0c\u5728\u5f88\u591a\u7b97\u6cd5\u4e2d\u5747\u6709\u7528\u5230\uff0c\u5176\u5b9e\u73b0\u5982\u4e0b\uff1a<\/li>\n<\/ul>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"java\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">void swap(int[] seq, int x, int y) {\n    int tmp = seq[x];\n    seq[x] = seq[y];\n    seq[y] = tmp;\n}<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">\u5192\u6ce1\u6392\u5e8f<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">1 \u6734\u7d20\u7248<\/h4>\n\n\n\n<p>\u5192\u6ce1\u7b97\u6cd5\u9010\u4e2a\u6bd4\u8f83\u76f8\u90bb\u4e24\u5143\u7d20\u7684\u5927\u5c0f\uff0c\u4e00\u8d9f\u4e0b\u6765\u5c06\u6700\u5927\u5143\u7d20\uff08\u6216\u6700\u5c0f\u5143\u7d20\uff09\u5f52\u4f4d\u5230\u5e8f\u5217\u6700\u9ad8\u4e0b\u6807seq.length-1\u5904\uff0c\u4e0b\u4e00\u8d9f\u5219\u5f52\u4f4d\u5230\u4e0b\u6807seq.length-2\u5904\u3002\u5982\u6b64\u5f80\u590d\uff0c\u76f4\u5230\u5f52\u4f4d\u5230\u4e0b\u68070\u5904\u3002\u4ee3\u7801\u5982\u4e0b\uff1a<\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"java\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">void bubbleSort(int[] seq) {\n    for (int i = 0; i &lt; seq.length - 1; i++)\n        for (int j = 0; j &lt; seq.length - i - 1; j++)\n            if (seq[j] > seq[j + 1])\n                swap(seq, j, j + 1);\n}<\/pre>\n\n\n\n<h4 class=\"wp-block-heading\">2 \u6539\u8fdb\u7248-\u63d0\u524d\u7ed3\u675f\u5192\u6ce1<\/h4>\n\n\n\n<p>\u8bbe\u60f3\u4e00\u4e0b\uff0c\u5047\u82e5\u73b0\u5728\u539f\u59cb\u5e8f\u5217\u9664\u4e86\u6700\u5927\u5143\u7d20\u5904\u5728\u5e8f\u5217\u524d\u9762\u67d0\u4e00\u4f4d\u7f6e\uff08\u672c\u5e94\u5728\u6700\u9ad8\u4e0b\u6807\u5904\uff09\uff0c\u5176\u4f59\u5143\u7d20\u95f4\u5df2\u7136\u6709\u5e8f\u3002\u90a3\u4e48\u5176\u5b9e\u53ea\u9700\u8981\u8fdb\u884c\u4e00\u8d9f\u5192\u6ce1\u5c06\u6700\u5927\u5143\u7d20\u5f52\u4f4d\u5230\u6700\u9ad8\u4e0b\u6807\u5904\u4e86\uff0c\u5373\u53ef\u7ec8\u6b62\u7b97\u6cd5\u3002\u90a3\u4e48\u5982\u4f55\u5224\u65ad\u6574\u4e2a\u5e8f\u5217\u5df2\u7ecf\u5168\u90e8\u6709\u5e8f\u4e86\u5462\uff1f\u6211\u4eec\u4e0d\u9700\u8981\u523b\u610f\u53bb\u6bd4\u8f83\uff0c\u987a\u7740\u7b97\u6cd5\u7684\u601d\u8def\u6765\u5c31\u884c\uff0c\u5373\u6211\u4eec\u53ef\u4ee5\u5728\u6bcf\u4e00\u8d9f\u7684\u5192\u6ce1\u8fc7\u7a0b\u4e2d\u7528\u4e00\u4e2a\u6807\u5fd7\u4f4dflag\u5224\u65ad\u662f\u5426\u53d1\u751f\u4ea4\u6362\uff0c\u82e5\u53d1\u751f\uff0c\u5219\u8be5\u8d9f\u5192\u6ce1\u4ecd\u9700\u7b49\u5f85\u5b8c\u6210\uff0c\u7ee7\u7eed\u8fdb\u884c\u4e0b\u4e00\u8d9f\u6392\u5e8f\uff0c\u76f4\u5230\u4e0d\u53d1\u751f\u4ea4\u6362\u65f6\uff0c\u7ed3\u675f\u3002\u4ee3\u7801\u5982\u4e0b\uff1a<\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"java\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">void improvedBubbleSort(int[] seq) {\n    boolean hasSwaped = false;\n    for (int i = 0; i &lt; seq.length - 1; i++) {\n        for (int j = 0; j &lt; seq.length - i - 1; j++) {\n            if (seq[j] > seq[j + 1]) {\n                hasSwaped = true;\n                swap(seq, j, j + 1);\n            }\n        }\n        if (hasSwaped == true) \/\/ \u4e0a\u8f6e\u53d1\u751f\u4ea4\u6362\n            hasSwaped = false; \/\/ \u590d\u4f4d\n        else\n            break;\n    }\n}<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">\u9009\u62e9\u6392\u5e8f<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">1 \u6734\u7d20\u7248<\/h4>\n\n\n\n<p>\u9009\u62e9\u6392\u5e8f\u4ece\u5e8f\u5217\u9996\u90e8\u5f00\u59cb\uff0c\u9996\u5148\u8003\u5bdfseq[0]\uff0c\u8ba9\u5176\u540e\u7684\u6240\u6709\u5143\u7d20(1 &#8211; seq.length-1)\u9010\u4e2a\u4e0eseq[0]\u6bd4\u8f83\uff0c\u6bd4\u8f83\u65f6\u4fdd\u7559\u4f4f\u6700\u5c0f\u5143\u7d20\u7684\u503c\u4e0e\u4e0b\u6807\uff0c\u8fd9\u6837\u4e00\u8d9f\u4e0b\u6765\u4fbf\u7b5b\u9009\u51fa\u4e860 &#8211; seq.length-1\u5e8f\u5217\u7684\u6700\u5927\u5143\u7d20\u4e0b\u6807\uff0c\u8ba9\u5b83\u4e0eseq[0]\u4ea4\u6362\u4f4d\u7f6e\uff0c\u4e00\u8d9f\u4fbf\u7ed3\u675f\u4e86\u3002\u4e0b\u4e00\u8d9f\u5219\u8003\u5bdfseq[1]\uff0c\u8ba9\u5176\u540e\u7684\u6240\u6709\u5143\u7d20(2 &#8211; seq.length-1)\u9010\u4e2a\u4e0eseq[1]\u6bd4\u8f83\uff0c\u540c\u4e0a\u3002\u5982\u6b64\u5f80\u590d\uff0c\u76f4\u5230\u8003\u5bdf\u5b8cseq[seq.length &#8211; 2]\u8fd9\u4e00\u8d9f\u7ed3\u675f\u3002\u4e4d\u4e00\u770b\u5176\u5b9e\u9009\u62e9\u6392\u5e8f\u4e0e\u5192\u6ce1\u7684\u5927\u81f4\u539f\u7406\u5dee\u4e0d\u591a\uff0c\u90fd\u662f\u6bcf\u8d9f\u9009\u51fa\u6700\u5927\u5143\u7d20\uff0c\u4f46\u4e0d\u540c\u7684\u662f\u5192\u6ce1\u6392\u5e8f\u662f\u76f8\u90bb\u4ea4\u6362\uff08\u5373\u4fdd\u8bc1\u4e86\u76f8\u540c\u5927\u5c0f\u7684\u5143\u7d20\u5728\u6392\u5b8c\u5e8f\u540e\u7684\u987a\u5e8f\u4e0e\u6392\u5e8f\u524d\u7684\u987a\u5e8f\u4e00\u81f4\uff09\uff0c\u800c\u9009\u62e9\u6392\u5e8f\u5219\u662f\u5404\u79cd\u8df3\u8dc3\u6027\u795e\u4ea4\u6362\uff0c\u4e09\u4e0b\u4e94\u9664\u4e8c\u5c31\u6253\u4e71\u4e86\u6b21\u5e8f\u3002\u4ee3\u7801\u5982\u4e0b\uff1a<\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"java\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">void selectionSort(int[] seq) {\n    int minpos = 0; \/\/ \u6700\u5c0f\u503c\u6240\u5728\u4e0b\u6807\n    for (int i = 0; i &lt; seq.length; i++) {\n        minpos = i;\n        for (int j = i + 1; j &lt; seq.length; j++) {\n            if (seq[j] &lt; seq[minpos])\n                minpos = j; \/\/ \u66f4\u65b0\u6700\u5c0f\u503c\u4f4d\u7f6e\n        }\n\n        \/\/ \u4e0e\u5b50\u5e8f\u5217\u5934\u90e8\u5143\u7d20\u4ea4\u6362\n        swap(seq, minpos, i);\n    }\n}<\/pre>\n\n\n\n<h4 class=\"wp-block-heading\">2 \u6539\u8fdb\u7248-\u6700\u5927\u6700\u5c0f\u5143\u7d20\u540c\u6b65\u9009\u51fa<\/h4>\n\n\n\n<p>\u4ece\u6734\u7d20\u7684\u9009\u62e9\u6392\u5e8f\u8fc7\u7a0b\u53ef\u4ee5\u770b\u51fa\uff0c\u5176\u5b9e\u65e2\u7136\u6bcf\u4e00\u8d9f\u53ef\u4ee5\u7b5b\u9009\u51fa\u6700\u5c0f\u503c\u5e76\u5c06\u5176\u5f52\u4f4d\u4e8eseq[0]\u5904\uff0c\u90a3\u4e3a\u4f55\u53c8\u4e0d\u53ef\u5728\u4e00\u8d9f\u8fc7\u7a0b\u4e2d\u540c\u6b65\u7b5b\u9009\u51fa\u6700\u5927\u503c\u5e76\u5f52\u4f4d\u4e8eseq[seq.length &#8211; 1]\u5462\uff0c\u8fd9\u6837\u7684\u8bdd\u6392seq.length \/ 2\u8d9f\u5c31\u53ef\u4ee5\u4e86\u3002\u4f46\u6709\u4e00\u70b9\u9700\u8981\u6ce8\u610f\uff0c\u5c31\u662f\u5047\u5982\u7b5b\u9009\u51fa\u7684\u6700\u5927\u5143\u7d20\u521a\u597d\u5728\u5b50\u5e8f\u5217\u7684\u9996\u90e8\uff0c\u800c\u9996\u90e8\u6070\u597d\u53c8\u662f\u8981\u88ab\u6700\u5c0f\u5143\u7d20\u4ea4\u6362\u7684\uff0c\u8fd9\u65f6\u5982\u679c\u6700\u5c0f\u5143\u7d20\u5148\u88ab\u4ea4\u6362\u5230\u4e86\u9996\u90e8\uff0c\u90a3\u4e48\u6700\u5927\u5143\u7d20\u5c31\u88ab\u5e26\u5230\u4e2d\u95f4\u53bb\u4e86\uff0c\u800c\u63a5\u4e0b\u6765\u6700\u5927\u5143\u7d20\u8981\u4ea4\u6362\u5230\u5b50\u5e8f\u5217\u5c3e\u90e8\u65f6\uff0c\u5b9e\u8d28\u662f\u628a\u6700\u5c0f\u5143\u7d20\u7ed9\u79fb\u5230\u5c3e\u90e8\u4e86\uff0c\u8fd9\u6837\u5c31\u9519\u4e86\u3002\u7c7b\u4f3c\u7684\u7279\u6b8a\u60c5\u51b5\u5171\u4e09\u79cd\uff0c\u5373\uff1a\u4ec5\u6700\u5927\u5143\u7d20\u5728\u9996\u90e8\uff0c\u4ec5\u6700\u5c0f\u5143\u7d20\u5728\u5c3e\u90e8\uff0c\u6700\u5927\u5143\u7d20\u5728\u9996\u90e8\u4e14\u6700\u5c0f\u5143\u7d20\u5728\u5c3e\u90e8\uff0c\u6211\u4eec\u8981\u5206\u522b\u8c03\u6574\u597d\u4ea4\u6362\u7684\u5148\u540e\u6b21\u5e8f\u8fdb\u884c\u7279\u6b8a\u5904\u7406\uff0c\u800c\u9664\u6b64\u5916\u7684\u5176\u4ed6\u60c5\u51b5\u4efb\u610f\u6b21\u5e8f\u4ea4\u6362\u5373\u53ef\u3002\u4ee3\u7801\u5982\u4e0b\uff1a<\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"java\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">void improvedSelectionSort(int[] seq) {\n    for (int i = 0; i &lt; seq.length \/ 2; i++) {\n        int minpos = i; \/\/ \u6700\u5c0f\u503c\u6240\u5728\u4e0b\u6807\n        int maxpos = seq.length - i - 1; \/\/ \u6700\u5927\u503c\u6240\u5728\u4e0b\u6807\n        for (int j = i; j &lt; seq.length - i; j++) {\n            if (seq[j] &lt; seq[minpos])\n                minpos = j; \/\/ \u66f4\u65b0\u6700\u5c0f\u503c\u4f4d\u7f6e\n            if (seq[j] > seq[maxpos])\n                maxpos = j;\n        }\n\n        \/\/ \u4ea4\u6362\n        if (minpos == seq.length - i - 1 &amp;&amp; maxpos == i) {\n            \/\/ \u6700\u5c0f\u5728\u5c3e\u90e8\uff0c\u6700\u5927\u5728\u9996\u90e8\uff0c\u4e92\u76f8\u4ea4\u6362\u4e00\u6b21\n            swap(seq, minpos, maxpos);\n        } else if (minpos == seq.length - i - 1) {\n            \/\/ \u6700\u5c0f\u5728\u5c3e\u90e8,\u6700\u5927\u5728\u4e2d\u95f4\u4efb\u610f\u5904\uff0c\u8981\u4f18\u5148\u628a\u6700\u5c0f\u4ea4\u6362\u5230\u9996\u90e8\u53bb\uff0c\u4ee5\u9632\u88ab\u6700\u5927\u8986\u76d6\n            swap(seq, minpos, i);\n            swap(seq, maxpos, seq.length - i - 1);\n        } else if (maxpos == i) {\n            \/\/ \u6700\u5c0f\u5728\u4e2d\u95f4\u4efb\u610f\u5904, \u6700\u5927\u5728\u9996\u90e8\uff0c\u8981\u4f18\u5148\u628a\u6700\u5927\u4ea4\u6362\u5230\u5c3e\u90e8\u53bb\uff0c\u4ee5\u9632\u88ab\u6700\u5c0f\u8986\u76d6\n            swap(seq, maxpos, seq.length - i - 1);\n            swap(seq, minpos, i);\n        } else {\n            \/\/ \u6700\u5c0f\u5728\u5c3e\u90e8\uff0c\u6700\u5927\u5728\u9996\u90e8\uff0c\u4efb\u610f\u987a\u5e8f\u4ea4\u6362\n            swap(seq, minpos, i);\n            swap(seq, maxpos, seq.length - i - 1);\n        }\n    }\n}<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">\u63d2\u5165\u6392\u5e8f<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">1 \u6734\u7d20\u7248<\/h4>\n\n\n\n<p>\u63d2\u5165\u6392\u5e8f\u6700\u5f62\u8c61\u751f\u52a8\u4e86\uff0c\u548c\u6211\u4eec\u6253\u6251\u514b\u724c\u65f6\u6478\u724c\u3001\u63d2\u724c\u7684\u8fc7\u7a0b\u4e00\u6a21\u4e00\u6837\uff0c\u53ea\u662f\u6251\u514b\u6362\u6210\u4e86\u6570\u5b57\u6216\u66f4\u62bd\u8c61\u7684\u5143\u7d20\u3002\u5177\u4f53\u8fc7\u7a0b\u8981\u8bf4\u7684\u8bdd\u5219\u662f\u8ba9\u539f\u59cb\u5c40\u90e8\u6709\u5e8f\u7684\u5e8f\u5217\uff0c\u968f\u7740\u4e00\u4e2a\u4e2a\u65b0\u5143\u7d20\u7684\u63d2\u5165\uff0c\u9010\u6b65\u6f14\u53d8\u6210\u5168\u90e8\u6709\u5e8f\u7684\u8fc7\u7a0b\uff0c\u5373\u6700\u521d\u5148\u56fa\u5b9a\u4f4fseq[0]\u8ba9\u5176\u6210\u4e3a\u4e00\u4e2a\u5c40\u90e8\u6709\u5e8f\u7684\u5b50\u5e8f\u5217\uff0c\u7136\u540e\u8003\u5bdfseq[1]\u53ca\u5b83\u524d\u9762\u90a3\u4e2a\u6709\u5e8f\u5e8f\u5217\uff0c\u8fb9\u632a\u52a8\u5143\u7d20\uff0c\u8fb9\u6839\u636e\u5143\u7d20\u7684\u5927\u5c0f\u5bfb\u627e\u63d2\u5165\u70b9\uff0c\u627e\u5230\u540e\u5c31\u63d2\u5165\uff0c\u4e00\u8d9f\u4fbf\u7ed3\u675f\u4e86\u3002\u4e0b\u4e00\u8d9f\u53c8\u8003\u5bdfseq[2]\u53ca\u5b83\u524d\u9762\u90a3\u4e2a\u6709\u5e8f\u5e8f\u5217\uff0c\u540c\u7406\u64cd\u4f5c\u3002\u5faa\u73af\u5f80\u590d\uff0c\u76f4\u5230\u8003\u5bdf\u5b8cseq[seq.length &#8211; 1]\u3002\u9700\u8981\u6307\u51fa\u7684\u662f\uff0c\u63d2\u5165\u6392\u5e8f\u5728\u5e8f\u5217\u57fa\u672c\u6709\u5e8f\u7684\u65f6\u5019\u5b8c\u5168\u4e0d\u8d39\u5439\u7070\u4e4b\u529b\uff0c\u9876\u591a\u632a\u52a8\u4e24\u4e09\u8d9f\uff0c\u7136\u540e\u6bcf\u6b21\u5f85\u63d2\u5165\u5143\u7d20\u90fd\u4e0d\u7528\u632a\u52a8\u6bd4\u8f83\u4e86\uff0c\u6b63\u662f\u5b83\u5e94\u8be5\u5f85\u7684\u4f4d\u7f6e\uff0c\u6240\u4ee5\u53ef\u4ee5\u8ba9\u65f6\u95f4\u590d\u6742\u5ea6\u964d\u4e3a\\(O(n)\\)\u3002<\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"java\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">void insertSort(int[] seq) {\n    for (int i = 1; i &lt; seq.length; i++) {\n        int target = seq[i]; \/\/ \u6682\u5b58\u4f4f\n        \/\/ \u5411\u524d\u5bfb\u627e\u63d2\u5165\u70b9\n        int j = i - 1;\n        while (j >= 0 &amp;&amp; target &lt; seq[j]) {\n            seq[j + 1] = seq[j];\n            j--;\n        }\n        seq[j + 1] = target;\n    }\n}<\/pre>\n\n\n\n<h4 class=\"wp-block-heading\">2 \u6539\u8fdb\u7248-\u4e8c\u5206\u63d2\u5165<\/h4>\n\n\n\n<p>\u6734\u7d20\u7684\u63d2\u5165\u6392\u5e8f\u662f\u8fb9\u6bd4\u8f83\u67e5\u627e\u63d2\u5165\u70b9\uff0c\u8fb9\u632a\u52a8\u5143\u7d20\u3002\u4e0d\u96be\u770b\u51fa\uff0c\u5143\u7d20\u7684\u632a\u52a8\u6b21\u6570\u662f\u6ca1\u6709\u90a3\u4e48\u5bb9\u6613\u51cf\u5c11\u7684\u4e86\uff0c\u7136\u800c\u6bd4\u8f83\u67e5\u627e\u7684\u6b21\u6570\u5176\u5b9e\u5f88\u5bb9\u6613\u51cf\u5c11\uff0c\u53ea\u8981\u91c7\u7528\u4e8c\u5206\u67e5\u627e\uff0c\u627e\u5230\u5e94\u8be5\u63d2\u5165\u7684\u4f4d\u7f6e\u540e\u518d\u9010\u4e2a\u632a\u52a8\u5143\u7d20\u817e\u51fa\u7a7a\u95f4\uff0c\u6700\u540e\u63d2\u5165\u5373\u53ef\u3002\u6539\u8fdb\u4e4b\u5904\u5176\u5b9e\u5c31\u662f\u628a\u67e5\u627e\u548c\u632a\u52a8\u64cd\u4f5c\u5206\u79bb\u5f00\u4e86\uff0c\u800c\u4e00\u65e6\u5206\u79bb\uff0c\u4fbf\u53ef\u4ee5\u5728\u67e5\u627e\u8fd9\u91cc\u505a\u6587\u7ae0\uff0c\u5229\u7528\u4e8c\u5206\u67e5\u627e\u51cf\u5c11\u6bd4\u8f83\u6b21\u6570\uff08\u56e0\u4e3a\u4e8c\u5206\u67e5\u627e\u6709\u8df3\u8dc3\u6027\uff0c\u5b83\u548c\u632a\u52a8\u64cd\u4f5c\u6ca1\u6cd5\u540c\u6b65\u8fdb\u884c\uff09\u3002\u4ee3\u7801\u5982\u4e0b\uff1a<\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"java\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">void binaryInsertSort(int[] seq) {\n    for (int i = 1; i &lt; seq.length; i++) {\n        int target = seq[i]; \/\/ \u6682\u5b58\u4f4f\n\n        int left = 0;\n        int right = i - 1;\n        int mid = 0;\n        while (left &lt;= right) {\n            mid = (left + right) \/ 2;\n            if (target >= seq[mid]) {\n                left = mid + 1;\n            } else {\n                right = mid - 1;\n            }\n        }\n\n        \/\/ \u5411\u524d\u5bfb\u627e\u63d2\u5165\u70b9\n        int j = i - 1;\n        while (j > right) {\n            seq[j + 1] = seq[j];\n            j--;\n        }\n        seq[right + 1] = target;\n    }\n}<\/pre>\n\n\n\n<h4 class=\"wp-block-heading\">3\u00a0\u7ec8\u6781\u6539\u8fdb\u7248-\u4e8c\u8def\u63d2\u5165<\/h4>\n\n\n\n<p>\u4e8c\u8def\u63d2\u5165\u7b97\u6cd5\u7684\u601d\u60f3\u5176\u5b9e\u5e76\u4e0d\u590d\u6742\uff0c\u53ea\u662f\u5176\u4e2d\u4e00\u4e9b\u53d6\u4f59\u8fd0\u7b97\u548c\u8fb9\u754c\u6761\u4ef6\u6bd4\u8f83\u70e6\u4eba\u3002\u8fd9\u4e2a\u7b97\u6cd5\u7684\u6539\u8fdb\u601d\u8def\u5176\u5b9e\u662f\u4ece\u8fd9\u91cc\u5f97\u5230\u542f\u53d1\u7684\uff1a\u5728\u6734\u7d20\u7684\u63d2\u5165\u6392\u5e8f\u8fc7\u7a0b\u4e2d\uff0c\u6211\u4eec\u4e00\u51fa\u6765\u5c31\u56fa\u5b9a\u4f4f\u4e86\u6700\u5de6\u4fa7\u5143\u7d20\uff0c\u5373\u5835\u6b7b\u4e86\u6700\u5de6\u8fb9\u65b9\u5411\uff0c\u6211\u4eec\u53ea\u80fd\u4e00\u5473\u5730\u201c\u5411\u53f3\u201d\u632a\u52a8\u5143\u7d20\u4e3a\u65b0\u5143\u7d20\u817e\u51fa\u4f4d\u7f6e\uff0c\u8fd9\u6837\u7684\u4e00\u4e2a\u5f0a\u7aef\u5f88\u660e\u663e\uff0c\u5c31\u662f\u4e07\u4e00\u9047\u5230\u4e00\u4e2a\u6700\u5c0f\u5143\u7d20\uff0c\u6211\u4eec\u5fc5\u987b\u628a\u6709\u5e8f\u5e8f\u5217\u4e2d\u7684\u5143\u7d20\u6574\u4e2a\u90fd\u5f80\u53f3\u632a\u52a8\u4e00\u4f4d\u624d\u80fd\u6709\u5b83\u7684\u5bb9\u8eab\u4e4b\u5904\uff0c\u8fd9\u6837\u52bf\u5fc5\u9020\u6210\u6bd4\u8f83\u4e0e\u79fb\u52a8\u6b21\u6570\u7684\u589e\u591a\uff01\u90a3\u600e\u4e48\u4f18\u5316\u5462\uff1f\u6211\u4eec\u53ef\u4ee5\u65b0\u5f00\u8f9f\u4e00\u4e2a\u7a7a\u7684\u6570\u7ec4_seq\uff0c\u8ba9\u5b83\u914d\u5408\u4e00\u4e2afirst\u548c\u4e00\u4e2alast\u6307\u9488\uff08\u5206\u522b\u6307\u5411\u6700\u5c0f\u5143\u7d20\u548c\u6700\u5927\u5143\u7d20\u6240\u5728\u7684\u4e0b\u6807\uff0c\u521d\u59cb\u4e0b\u6807\u5747\u4e3a0\uff09\u5b9e\u73b0\u7c7b\u4f3c\u5faa\u73af\u6570\u7ec4\u5373\u4e24\u5934\u3001\u4e2d\u95f4\u5747\u80fd\u63d2\u5165\u7684\u529f\u80fd\u3002<\/p>\n\n\n\n<ul>\n<li>\u82e5\u5f85\u63d2\u5165\u5143\u7d20seq[i] &lt; _seq[first]\uff0c\u5c31\u76f4\u63a5\u8ba9first = (first &#8211; 1 + seq.length) % seq.length\uff0c\u7136\u540e\u76f4\u63a5\u4e00\u6b65\u5230\u4f4d\u628aseq[i]\u7684\u503c\u8d4b\u7ed9_seq[first]<\/li>\n\n\n\n<li>\u82e5\u5f85\u63d2\u5165\u5143\u7d20seq[i] &gt; _seq[last]\uff0c\u5c31\u76f4\u63a5\u8ba9last++\uff0c\u7136\u540e\u76f4\u63a5\u4e00\u6b65\u5230\u4f4d\u628aseq[i]\u7684\u503c\u8d4b\u7ed9_seq[last]<\/li>\n\n\n\n<li>\u82e5\u5f85\u63d2\u5165\u5143\u7d20_seq[first] &lt;= seq[i] &lt;= _seq[last]\uff0c\u5219\u6309\u6734\u7d20\u63d2\u5165\u6392\u5e8f\u6216\u4e8c\u5206\u63d2\u5165\u6392\u5e8f\u8fdb\u884c<\/li>\n<\/ul>\n\n\n\n<p>\u4ee3\u7801\u5982\u4e0b\uff1a<\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"null\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">void twoWaysInsertSort(int[] seq) {\n    int length = seq.length;\n    int[] _seq = new int[length];\n    int first = 0;\n    int last = 0;\n    _seq[first] = seq[0];\n\n    for (int i = 1; i &lt; length; i++) {\n        if (seq[i] &lt; _seq[first]) {\n            first = (first - 1 + length) % length; \/\/ \u63d2\u5165\u5230first\u4e4b\u524d\n            _seq[first] = seq[i];\n        } else if (seq[i] >= _seq[last]) {\n            last++; \/\/ \u63d2\u5165\u5230last\u4e4b\u540e\n            _seq[last] = seq[i];\n        } else {\n\n            \/\/ 1.\u91c7\u7528\u76f4\u63a5\u63d2\u5165\n            \/\/ int j;\n            \/\/ for(j = last; seq[i] &lt; _seq[j]; j = (j - 1 + length) %\n            \/\/ length)\n            \/\/ _seq[(j + 1 + length) % length] = _seq[j]; \/\/\u540e\u8005\u8986\u76d6\u524d\u8005\n            \/\/ _seq[(j + 1 + length) % length] = seq[i];\n            \/\/ last++;\n\n            \/\/ 2.\u91c7\u7528\u4e8c\u5206\u67e5\u627e\u4f4d\u7f6e\u540e\u63d2\u5165\n            int low = first;\n            int high = last;\n            int mid = 0;\n            int d = 0; \/\/ \u9ad8\u4f4e\u4e24\u7aef\u4e4b\u95f4\u7684\u5143\u7d20\u4e2a\u6570\n            while (low != high) {\n                d = (high - low + length) \/ length;\n                mid = (low + d \/ 2) % length;\n                if (seq[i] >= _seq[mid]) {\n                    low = (mid + 1 + length) % length;\n                } else {\n                    high = mid;\n                }\n            }\n\n            \/\/ \u5411\u524d\u5bfb\u627e\u63d2\u5165\u70b9\n            int j = last + 1;\n            int k;\n            while (j != low) {\n                k = (j - 1 + length) % length;\n                _seq[j] = _seq[k];\n                j = k;\n            }\n            _seq[low] = seq[i];\n            last++;\n        }\n    }\n\n    \/\/ \u6574\u7406\u5230\u539f\u5e8f\u5217\n    for (int i = 0; i &lt; length; i++) {\n        seq[i] = _seq[(first + i) % length];\n    }\n}<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">\u5e0c\u5c14\u6392\u5e8f<\/h3>\n\n\n\n<p>\u8be5\u7b97\u6cd5\u53c8\u79f0\u7f29\u5c0f\u589e\u91cf\u6392\u5e8f\uff0c\u662f\u63d2\u5165\u7b97\u6cd5\u7684\u4e00\u79cd\u53e0\u52a0\u4e0e\u6539\u8fdb\u3002\u6734\u7d20\u7684\u63d2\u5165\u6392\u5e8f\u4e2d\u7684\u6709\u5e8f\u5b50\u5e8f\u5217\u90fd\u662f\u4ee51\u4e3a\u589e\u91cf\u7684\uff0c\u4e2d\u95f4\u4e0d\u80fd\u8dc3\u8fc7\u4efb\u4e00\u5143\u7d20\uff0c\u800c\u5e0c\u5c14\u6392\u5e8f\u5219\u53ef\u4ee5\uff0c\u5b83\u7b2c\u4e00\u8f6e\u5148\u8bbe\u5b9a\u4e00\u4e2a\u589e\u91cfgap\uff0c\u7136\u540e\u9501\u5b9a\u4e00\u4e2a\u8d77\u59cb\u4f4d\u7f6estart\uff0c\u8ba9start + i, start + i + gap, start + i + 2*gap, start + i + 3*gap,&#8230;(0&lt;=i&lt;gap)\u6784\u6210\u5e8f\u5217i\uff0c\u6700\u7ec8\u5f97\u5230gap\u4e2a\u5e8f\u5217\uff0c\u7136\u540e\u5206\u522b\u5bf9\u5176\u4f7f\u7528\u63d2\u5165\u6392\u5e8f\u3002\u7b2c\u4e8c\u8f6e\u8ba9gap=gap\/2\uff08\u6bcf\u6b21\u96642\uff09\uff0c\u540e\u9762\u539f\u7406\u540c\u4e0a\u3002\u5982\u6b64\u5f80\u590d\uff0c\u76f4\u5230\u6700\u540egap=1\uff0c\u5219\u6f14\u53d8\u4e3a\u4e00\u822c\u7684\u63d2\u5165\u6392\u5e8f\uff0c\u800c\u6b64\u65f6\u4e0d\u5fc5\u62c5\u5fc3\uff0c\u56e0\u4e3a\u5e8f\u5217\u5df2\u7ecf\u57fa\u672c\u6709\u5e8f\u4e86\uff0c\u6240\u4ee5\u57fa\u672c\u4e0d\u9700\u8981\u6392\u591a\u5c11\u6b21\u3002\u6240\u4ee5\u8bfb\u5230\u8fd9\u91cc\uff0c\u5927\u6982\u5c31\u80fd\u77e5\u9053\u4e3a\u4ec0\u4e48\u9009\u7528\u63d2\u5165\u6392\u5e8f\u6765\u6539\u8fdb\uff0c\u800c\u4e0d\u9009\u5192\u6ce1\u548c\u9009\u62e9\u4e86\u5427\uff0c\u5c31\u662f\u56e0\u4e3a\u63d2\u5165\u6392\u5e8f\u5728\u5e8f\u5217\u57fa\u672c\u6709\u5e8f\u65f6\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u662fO(n)\u8fd9\u4e2a\u7279\u6027\uff0c\u4f7f\u5f97\u5b83\u6bd4\u5176\u4ed6\u4e24\u79cd\u7b97\u6cd5\u66f4\u5177\u4f18\u52bf\uff01<\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"java\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">void shellSort(int[] seq) {\n    \/\/ \u96642\u589e\u91cf\u7684\u5e0c\u5c14\u6392\u5e8f\n    for (int gap = seq.length \/ 2; gap > 0; gap \/= 2) {\n        for (int start = 0; start &lt; gap; start++) {\n            insertSortWithGap(seq, start, gap);\n        }\n    }\n}\n\n\/\/ \u63d2\u5165\u6392\u5e8f\u7b97\u6cd5(\u670d\u52a1\u5e0c\u5c14\u6392\u5e8f)\n\/\/ start: \u8d77\u59cb\u5904\uff08\u9ed8\u8ba4\u4e3a0\uff09\n\/\/ gap: \u589e\u91cf\uff08\u9ed8\u8ba4\u4e3a1\uff09\nvoid insertSortWithGap(int[] seq, int start, int gap) {\n    for (int i = start + gap; i &lt; seq.length; i += gap) {\n        int target = seq[i]; \/\/ \u6682\u5b58\u4f4f\n        \/\/ \u5411\u524d\u5bfb\u627e\u63d2\u5165\u70b9\n        int j = i - gap;\n        while (j >= 0 &amp;&amp; target &lt; seq[j]) {\n            seq[j + gap] = seq[j];\n            j -= gap;\n        }\n        seq[j + gap] = target;\n    }\n}<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">\u7ed3\u8bed<\/h3>\n\n\n\n<p>\u7b80\u5355\u6392\u5e8f\u7b97\u6cd5\u672c\u6587\u5c31\u53ea\u8bb0\u5f55\u4e86\u8fd9\u4e9b\uff0c\u4e0b\u4e00\u7ae0\u4f1a\u8bb0\u5f55\u4e00\u4e9b\u66f4\u6709\u6548\u7387\u3001\u66f4\u6709\u601d\u60f3\u7684\u590d\u6742\u6392\u5e8f\u7b97\u6cd5\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5f15\u8a00 \u6392\u5e8f\u662f\u8ba1\u7b97\u673a\u5185\u7ecf\u5e38\u8fdb\u884c\u7684\u4e00\u79cd\u64cd\u4f5c\uff0c\u5176\u76ee\u7684\u662f\u5c06\u4e00\u7ec4\u201c\u65e0\u5e8f\u201d\u7684\u8bb0\u5f55\u5e8f\u5217\u8c03\u6574\u4e3a\u201c\u6709\u5e8f\u201d\u7684\u8bb0\u5f55\u5e8f\u5217\uff0c\u5b83\u5728\u5927\u5927\u5c0f\u5c0f [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[55,46],"tags":[],"_links":{"self":[{"href":"http:\/\/yaochenkun.site\/index.php\/wp-json\/wp\/v2\/posts\/543"}],"collection":[{"href":"http:\/\/yaochenkun.site\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/yaochenkun.site\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/yaochenkun.site\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/yaochenkun.site\/index.php\/wp-json\/wp\/v2\/comments?post=543"}],"version-history":[{"count":26,"href":"http:\/\/yaochenkun.site\/index.php\/wp-json\/wp\/v2\/posts\/543\/revisions"}],"predecessor-version":[{"id":2329,"href":"http:\/\/yaochenkun.site\/index.php\/wp-json\/wp\/v2\/posts\/543\/revisions\/2329"}],"wp:attachment":[{"href":"http:\/\/yaochenkun.site\/index.php\/wp-json\/wp\/v2\/media?parent=543"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/yaochenkun.site\/index.php\/wp-json\/wp\/v2\/categories?post=543"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/yaochenkun.site\/index.php\/wp-json\/wp\/v2\/tags?post=543"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}