{"id":545,"date":"2017-02-22T13:14:26","date_gmt":"2017-02-22T05:14:26","guid":{"rendered":"http:\/\/yaochenkun.site\/?p=545"},"modified":"2024-11-23T15:36:24","modified_gmt":"2024-11-23T07:36:24","slug":"complesort_article","status":"publish","type":"post","link":"http:\/\/yaochenkun.site\/index.php\/2017\/02\/22\/complesort_article\/","title":{"rendered":"\u6392\u5e8f2-\u590d\u6742\u6392\u5e8f\u7b97\u6cd5"},"content":{"rendered":"\n<h3 class=\"wp-block-heading\">\u5f15\u8a00<\/h3>\n\n\n\n<p>\u672c\u7ae0\u8bb0\u5f55\u4e00\u4e9b\u5e73\u5747\u65f6\u95f4\u6548\u7387\u66f4\u9ad8\u7684\u6392\u5e8f\u7b97\u6cd5\uff0c\u4ed6\u4eec\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u901a\u5e38\u4e3a\\(O(n\\log n)\\)\u7ea7\u522b\uff0c\u4f46\u5176\u5b9e\u73b0\u90fd\u6bd4\u8f83\u590d\u6742\uff0c\u6240\u4ee5\u901a\u5e38\u79f0\u4e4b\u4e3a\u590d\u6742\u6392\u5e8f\u7b97\u6cd5\u3002\u7ea6\u5b9a\u8fd8\u662f\u540c\u4e0a\u4e00\u7ae0\u4e00\u6837\uff0c\u6548\u7387\u5bf9\u6bd4\u4e5f\u540c\u6837\u662f\u5728\u4e0b\u4e00\u7ae0\u7ed9\u51fa\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u5f52\u5e76\u6392\u5e8f<\/h3>\n\n\n\n<p>\u8be5\u7b97\u6cd5\u6b63\u5982\u5176\u540d\uff0c\u56f4\u7ed5\u7740<strong>\u5f52<\/strong>\u4e0e<strong>\u5e76<\/strong>\u4e24\u79cd\u7b56\u7565\u8fdb\u884c\u3002<\/p>\n\n\n\n<p><strong>\u5f52<\/strong>\u6307\u7684\u662f\u9012\u5f52\uff0c\u5229\u7528\u4e8c\u5206\u6cd5\u5c06\u6574\u4e2a\u5e8f\u5217\u5212\u5206\u6210\u5de6\u53f3\u4e24\u4e2a\u5b50\u5e8f\u5217\uff0c\u518d\u5c06\u5de6\u5b50\u5e8f\u5217\u53c8\u4e8c\u5206\u4e3a\u5de6\u53f3\u5b50\u5e8f\u5217\uff0c\u5c06\u53f3\u5b50\u5e8f\u5217\u540c\u6837\u4e5f\u4e8c\u5206\u4e3a\u5de6\u53f3\u5b50\u5e8f\u5217\uff0c\u6574\u4e2a\u4e8c\u5206\u8fc7\u7a0b\u4f53\u73b0\u5728\u4ee3\u7801\u4e0a\u5c31\u662f\u9012\u5f52\u8c03\u7528\u7684\u8fc7\u7a0b\uff1b<\/p>\n\n\n\n<p><strong>\u5e76<\/strong>\u6307\u7684\u662f\u5408\u5e76\uff0c\u9012\u5f52\u4e0d\u80fd\u65e0\u9650\u5730\u8fdb\u884c\u4e0b\u53bb\uff0c\u603b\u662f\u9700\u8981\u4e00\u4e2a\u51fa\u53e3\u7684\uff0c\u800c\u663e\u7136\u4e8c\u5206\u7684\u51fa\u53e3\u5c31\u5728\u4e8e\u5f53\u4e24\u4e2a\u5b50\u5e8f\u5217\u5747\u4ec5\u52691\u4e2a\u62160\u4e2a\u5143\u7d20\u65f6\uff0c\u5373\u6709low &gt;= high\u6761\u4ef6\u6210\u7acb\u65f6\uff0c\u6b64\u65f6\u5c06\u5bf9\u8fd9\u4e24\u4e2a\u5e8f\u5217\u8fdb\u884c\u5408\u5e76\uff0c\u53c8\u56e0\u4e24\u4e2a\u5b50\u5e8f\u5217\u5df2\u7136\u662f\u6709\u5e8f\u5e8f\u5217\uff0c\u6240\u4ee5\u53ef\u4ee5\u76f4\u63a5\u91c7\u7528\u7ecf\u5178\u7684\u4e24\u6709\u5e8f\u5e8f\u5217\u5408\u5e76\u7684\u7b97\u6cd5\u5b9e\u73b0\uff0c\u5b8c\u6210\u540e\u4fbf\u5f97\u5230\u4e86\u4e00\u6bb5\u66f4\u957f\u7684\u6709\u5e8f\u5e8f\u5217\uff0c\u5e76\u8fd4\u56de\u4e0a\u4e00\u5c42\uff0c\u8fdb\u800c\u518d\u4e0e\u5b83\u540c\u5c42\u7684\u53e6\u4e00\u534a\u6709\u5e8f\u5e8f\u5217\u8fdb\u884c\u5408\u5e76\uff0c\u76f4\u81f3\u8fd4\u56de\u6700\u5916\u5c42\u7b97\u6cd5\u7ed3\u675f\u3002<\/p>\n\n\n\n<p>\u53ef\u4ee5\u770b\u51fa\uff0c\u5f52\u5e76\u6392\u5e8f\u5229\u7528\u9012\u5f52\u6df1\u5165\u5230\u6700\u5e95\u5c42\uff0c\u901a\u8fc7\u89e3\u51b3\u6700\u7b80\u5355\u7684\u4e24\u5355\u4e2a\u5143\u7d20\u5408\u5e76\u5f97\u5230\u65b0\u6709\u5e8f\u5e8f\u5217\u8fd9\u4e2a\u5b50\u95ee\u9898\uff0c\u518d\u4f9b\u7ed9\u5176\u4e0a\u5c42\u4f7f\u7528\u8be5\u5b50\u95ee\u9898\u5f97\u5230\u7684\u7b54\u6848\uff0c\u9010\u6b65\u5b8c\u6210\u4e86\u6700\u521d\u59cb\u7684\u590d\u6742\u95ee\u9898\u6c42\u89e3\u3002\u4f46\u503c\u5f97\u63d0\u51fa\u7684\u662f\uff0c\u5f52\u5e76\u6392\u5e8f\u9700\u8981\u4e00\u4e2a\u4e0e\u539f\u59cb\u5e8f\u5217\u7a7a\u95f4\u5927\u5c0f\u76f8\u540c\u7684\u7a7a\u6570\u7ec4\u5b58\u653e\u5f52\u5e76\u7ed3\u679c\uff0c\u6545\u5176\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3a\\(O(n)\\)\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=\"\">\/\/ \u5f52\u5e76\u6392\u5e8f\nvoid mergeSort(int[] seq) {\n    int[] tmpSeq = new int[seq.length]; \/\/ \u7533\u8bf7\u4e34\u65f6\u76ee\u7684\u5b58\u50a8\u7a7a\u95f4\n    mergeSortInInterval(seq, tmpSeq, 0, seq.length - 1); \/\/ \u6307\u5b9a\u533a\u95f4\u6392\u5e8f\n}\n\n\/\/ \u5bf9seq\u7684left-right\u533a\u95f4\u8fdb\u884c\u5f52\u5e76\u6392\u5e8f\nvoid mergeSortInInterval(int[] seq, int[] tmpSeq, int left, int right) {\n    if (left &lt; right) {\n        int mid = (left + right) >> 1;\n        mergeSortInInterval(seq, tmpSeq, left, mid); \/\/ \u5de6\u534a\u533a\u95f4\u5f52\u5e76\u6392\u5e8f\n        mergeSortInInterval(seq, tmpSeq, mid + 1, right); \/\/ \u53f3\u534a\u533a\u95f4\u5f52\u5e76\u6392\u5e8f\n        mergeIntervals(seq, tmpSeq, left, mid, right); \/\/ \u5408\u5e76\u5de6\u3001\u53f3\u534a\u6709\u5e8f\u533a\u95f4\n    }\n}\n\n\/\/ \u5408\u5e76seq\u7684left-mid\u533a\u95f4\u4e0emid+1-right\u533a\u95f4\nvoid mergeIntervals(int[] seq, int[] tmpSeq, int left, int mid, int right) {\n\n    int index1 = left; \/\/ \u5de6\u534a\u533a\u95f4\u6e38\u6807\uff08left\u4e3a\u8d77\u59cb\u5904\uff09\n    int index2 = mid + 1; \/\/ \u53f3\u534a\u533a\u95f4\u6e38\u6807\uff08mid+1\u4e3a\u8d77\u59cb\u5904\uff09\n    int index = left; \/\/ \u76ee\u7684\u6570\u7ec4\u6e38\u6807\n    while (index1 &lt;= mid &amp;&amp; index2 &lt;= right) {\n        tmpSeq[index++] = seq[index1] &lt; seq[index2] ? seq[index1++] : seq[index2++];\n    }\n    while (index1 &lt;= mid) {\n        tmpSeq[index++] = seq[index1++];\n    }\n    while (index2 &lt;= right) {\n        tmpSeq[index++] = seq[index2++];\n    }\n\n    \/\/ \u66f4\u6539\u81f3\u539f\u5e8f\u5217\n    for (int i = left; i &lt;= right; i++)\n        seq[i] = tmpSeq[i];\n}<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">\u5feb\u901f\u6392\u5e8f<\/h3>\n\n\n\n<p>\u5feb\u6392\u5e8f\u91c7\u7528\u5206\u6cbb\u7684\u601d\u60f3\uff0c\u9009\u62e9\u4e00\u4e2a\u5143\u7d20\u4f5c\u4e3a\u67a2\u8f74\uff0c\u8bbe\u7acb\u4e00\u4e2alow\u6307\u9488\u6307\u5411\u5e8f\u5217\u9996\u90e8\uff0c\u4e00\u4e2ahigh\u6307\u9488\u6307\u5411\u5e8f\u5217\u5c3e\u90e8\uff0c\u4e00\u8d9f\u6392\u5e8f\u8fc7\u7a0b\u4e2d\u5c06\u5927\u4e8e\u67a2\u8f74\u7684\u5143\u7d20\u90fd\u5f52\u7f6e\u4e8e\u9ad8\u7aef\uff0c\u5c0f\u4e8e\u67a2\u8f74\u7684\u5143\u7d20\u90fd\u5f52\u7f6e\u4e8e\u4f4e\u7aef\uff0c\u4e00\u8d9f\u4e0b\u6765\uff0c\u67a2\u8f74\u7684\u4f4d\u7f6e\u4fbf\u5f97\u5230\u4e86\u786e\u5b9a\u3002\u7136\u540e\u53c8\u9012\u5f52\u5730\u91c7\u7528\u5feb\u6392\u5e8f\uff0c\u5206\u522b\u6392\u5217\u5c0f\u4e8e\u67a2\u8f74\u7684\u5b50\u5e8f\u5217\uff0c\u548c\u5927\u4e8e\u67a2\u8f74\u7684\u5b50\u5e8f\u5217\u3002<\/p>\n\n\n\n<p>\u4e0d\u96be\u770b\u51fa\uff0c\u5f52\u7f6e\u5143\u7d20\u6700\u7ec8\u786e\u5b9a\u67a2\u8f74\u4f4d\u7f6e\u8fd9\u4e2a\u8fc7\u7a0b\u624d\u662f\u5feb\u6392\u5e8f\u7684\u6838\u5fc3\u3002\u5176\u8fc7\u7a0b\u901a\u5e38\u662f\u8fd9\u6837\u7684\uff1a\u9009\u53d6\u67a2\u8f74\uff0c\u5c06\u5176\u503c\u7528\u4e34\u65f6\u53d8\u91cfprivotKey\u4fdd\u5b58\u4f4f\uff0c\u7136\u540e\u5c06\u5176\u4e0elow\u6307\u9488\u6240\u6307\u5411\u5143\u7d20\u4ea4\u6362\uff0c\u7136\u540e\u8f6c\u800c\u4ecehigh\u6307\u9488\u6307\u5411\u4f4d\u7f6e\u5f00\u59cb\uff0c\u9010\u6b65\u79fb\u52a8\u4e0e\u67a2\u8f74\u8fdb\u884c\u6bd4\u8f83\uff0c\u76f4\u5230\u627e\u5230\u4e00\u4e2a\u5c0f\u4e8e\u67a2\u8f74\u7684\u5143\u7d20\uff0c\u4fbf\u5c06\u8be5\u5143\u7d20\u8986\u76d6\u81f3low\u6307\u9488\u5f53\u524d\u6240\u6307\u4f4d\u7f6e\u4e0a\u53bb\uff0c\u7136\u540e\u53c8\u8f6c\u800c\u4ecelow\u6307\u9488\u6307\u5411\u7684\u4e0b\u4e00\u4f4d\u7f6e\u5f00\u59cb\uff0c\u9010\u6b65\u79fb\u52a8\u4e0e\u67a2\u8f74\u8fdb\u884c\u6bd4\u8f83\uff0c\u76f4\u5230\u627e\u5230\u4e00\u4e2a\u5927\u4e8e\u67a2\u8f74\u7684\u5143\u7d20\uff0c\u53c8\u5c06\u8be5\u5143\u7d20\u8986\u76d6\u81f3high\u6307\u9488\u5f53\u524d\u6240\u6307\u4f4d\u7f6e\u4e0a\u53bb\uff0c\u5faa\u73af\u5f80\u590d\uff0c\u76f4\u5230low &gt;= high\u3002<\/p>\n\n\n\n<p>\u4e4b\u6240\u4ee5\u91c7\u7528\u8fd9\u79cd\u7c7b\u4f3c\u4ea4\u66ff\u7684\u65b9\u5f0f\uff0c\u662f\u56e0\u4e3a\u6211\u4eec\u5e0c\u671b\u7528\u8d4b\u503c\u64cd\u4f5c\u53d6\u4ee3\u9891\u7e41\u7684\u4ea4\u6362\u64cd\u4f5c\uff0c\u56e0\u4e3a\u8d4b\u503c\u662f\u4ea4\u6362\u7684\u539f\u5b50\u64cd\u4f5c\uff0c\u5fc5\u7136\u6bd4\u4ea4\u6362\u5feb\u5f97\u591a\uff0c\u90a3\u4e48\u663e\u7136\uff0c\u6bd4\u5982\u5f53\u627e\u5230\u4e00\u4e2a\u5927\u4e8e\u67a2\u8f74\u7684\u5143\u7d20\u540e\uff0c\u6211\u4eec\u76f4\u63a5\u7c97\u66b4\u5730\u5c06\u5176\u8986\u76d6\u81f3high\u6307\u9488\u6240\u6307\u4f4d\u7f6e\uff0c\u5fc5\u7136\u4f1a\u9020\u6210high\u6307\u9488\u5904\u672c\u6765\u6709\u7684\u5143\u7d20\u88ab\u8986\u76d6\u6389\uff0c\u4ece\u800c\u4e22\u5931\u5e8f\u5217\u5143\u7d20\uff01\u90a3\u5982\u4f55\u505a\u624d\u80fd\u907f\u514d\u5462\uff1f\u8fd8\u8bb0\u5f97\u4e3a\u4ec0\u4e48\u6211\u4eec\u6700\u521d\u8981\u5148\u628a\u67a2\u8f74\u4ea4\u6362\u5230low\u4f4d\u7f6e\u5427\uff0c\u5c31\u662f\u8fd9\u4e2a\u5c0f\u64cd\u4f5c\u8d77\u5230\u4e86\u5927\u4f5c\u7528\uff01\u56e0\u4e3a\u4e00\u8d9f\u4e0b\u6765\uff0c\u67a2\u8f74\u5fc5\u7136\u662f\u6700\u540e\u4e00\u4e2a\u88ab\u5f52\u7f6e\u7684\u5143\u7d20\uff0c\u5b83\u7684\u4f4d\u7f6e\u8981\u5230\u5176\u5b83\u5143\u7d20\u90fd\u8003\u5bdf\u8fc7\u4e86\u624d\u80fd\u88ab\u786e\u5b9a\u4e0b\u6765\uff0c\u6240\u4ee5\u6211\u4eec\u5c06\u5176\u79fb\u5230low\u5904\uff0c\u7136\u540e\u901a\u8fc7\u8003\u5bdfhigh\u76f4\u81f3\u627e\u5230\u4e00\u4e2a\u5c0f\u4e8e\u67a2\u8f74\u7684\u5143\u7d20\uff0c\u6b64\u65f6\u8986\u76d6low\u4e5f\u5c31\u4e07\u65e0\u4e00\u5931\u4e86\uff0c\u56e0\u4e3a\u8be5\u503c\u4e3a\u67a2\u8f74\u503c\uff0c\u5df2\u6682\u5b58\u5230\u4e86privotKey\u53d8\u91cf\uff0c\u800c\u6ce8\u610f\u6b64\u65f6high\u4f4d\u7f6e\u5143\u7d20\u8fd8\u662f\u4e4b\u524d\u90a3\u4e2a\uff0c\u6240\u4ee5\u4e0b\u4e00\u6b21\u4ecelow\u5f00\u59cb\u8986\u76d6\u4e0a\u4e00\u6b21high\u6240\u5728\u4f4d\u7f6e\u7684\u5143\u7d20\u4e5f\u5c31\u987a\u7406\u6210\u7ae0\u4e86\uff0c\u8fd9\u6837\u4e00\u73af\u6263\u7740\u4e00\u73af\u8986\u76d6\u4e0b\u53bb\uff0c\u76f4\u5230\u6700\u540e\u786e\u5b9a\u67a2\u8f74\uff0c\u518d\u4eba\u4e3a\u5730\u7528privotKey\u8986\u76d6\u4e00\u6b21\u3002<\/p>\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=\"\">\/\/ \u5feb\u901f\u6392\u5e8f\nvoid quickSort(int[] seq) {\n    quickSortInInterval(seq, 0, seq.length - 1); \/\/ \u6307\u5b9a\u533a\u95f4\u6392\u5e8f\n}\n\n\/\/ \u6309\u89c4\u5b9a\u533a\u95f4low-high\u5bf9seq\u8fdb\u884c\u5feb\u901f\u6392\u5e8f\nvoid quickSortInInterval(int[] seq, int low, int high) {\n    if (low &lt; high) {\n        int mid = getMiddle(seq, low, high);\n        quickSortInInterval(seq, low, mid - 1); \/\/ \u5bf9\u5de6\u534a\u533a\u95f4\u5feb\u6392\u5e8f\n        quickSortInInterval(seq, mid + 1, high); \/\/ \u5bf9\u53f3\u534a\u533a\u95f4\u5feb\u6392\u5e8f\n    }\n}\n\n\/\/ \u83b7\u53d6\u67a2\u8f74\u843d\u811a\u4f4d\u7f6e\nint getMiddle(int[] seq, int low, int high) {\n    int privotKey = getPrivotKey(seq, low, high); \/\/ \u67a2\u8f74\u503c\n\n    while (low &lt; high) {\n        while (low &lt; high &amp;&amp; seq[high] >= privotKey)\n            high--;\n        seq[low] = seq[high]; \/\/ \u79fb\u81f3\u4f4e\u4f4d\n        while (low &lt; high &amp;&amp; seq[low] &lt;= privotKey)\n            low++;\n        seq[high] = seq[low]; \/\/ \u79fb\u81f3\u9ad8\u4f4d\n    }\n\n    seq[low] = privotKey; \/\/ \u67a2\u8f74\u5f52\u4f4d\n    return low;\n}\n<\/pre>\n\n\n\n<p>\u9700\u8bf4\u660e\u4e00\u70b9\u7684\u662f\uff0c\u5982\u679c\u6211\u4eec\u201c\u6bcf\u8d9f\u201d\u9009\u7684\u67a2\u8f74\u6070\u597d\u5bf9\u5e94\u7684\u662f\u6700\u5927\u6216\u6700\u5c0f\u5143\u7d20\uff0c\u90a3\u4e48\u6b64\u65f6\u5feb\u6392\u5c06\u9000\u5316\u4e3a\u5192\u6ce1\u6392\u5e8f\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u964d\u4e3a\\(O(n)\\)\uff08\u6ce8\u610f\uff1a\u6709\u7684\u4e66\u4e0a\u5199\u7684\u662f\u5f53\u5e8f\u5217\u6070\u597d\u4e3a\u6b63\u5e8f\u6216\u9006\u5e8f\uff0c\u8fd9\u79cd\u60c5\u51b5\u6210\u7acb\u7684\u524d\u63d0\u662f\uff0c\u6211\u4eec\u8981\u4fdd\u8bc1\u662f\u76f4\u63a5\u53d6low\u5904\u7684\u5143\u7d20\u4f5c\u4e3a\u67a2\u8f74\uff0c\u800c\u4e0d\u662f\u5176\u5b83\u4f4d\u7f6e\u5143\u7d20\uff0c\u6240\u4ee5\u8fd9\u79cd\u8bf4\u6cd5\u4e0d\u5177\u4e00\u822c\u6027\uff09\u3002\u56e0\u6b64\u4e3a\u4e86\u907f\u514d\u8fd9\u79cd\u7279\u6b8a\u60c5\u51b5\u51fa\u73b0\uff0c\u6211\u4eec\u901a\u5e38\u91c7\u7528\u7684\u7b56\u7565\u6709\u4e24\u79cd\uff1a<\/p>\n\n\n\n<ul>\n<li>\u968f\u673a\u53d6\uff1a\u5229\u7528\u4f2a\u968f\u673a\u51fd\u6570\u4efb\u53d6\u5e8f\u5217\u7684\u67d0\u4e00\u4f4d\u7f6e\u4f5c\u4e3a\u67a2\u8f74<\/li>\n\n\n\n<li>\u4e09\u8005\u53d6\u4e2d\uff1a\u6bd4\u8f83\u5e8f\u5217\u9996\u90e8\u3001\u4e2d\u90e8\u548c\u5c3e\u90e8\u4e09\u4e2a\u4f4d\u7f6e\u7684\u5143\u7d20\u5927\u5c0f\uff0c\u53d6\u5927\u5c0f\u4f4d\u4e8e\u4e2d\u95f4\u8005\u4f5c\u4e3a\u67a2\u8f74<\/li>\n<\/ul>\n\n\n\n<p>\u8be5\u90e8\u5206\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=\"\">\/\/ \u53d6\u67a2\u8f74\u8fd0\u7b97\nint getPrivotKey(int[] seq, int low, int high) {\n    int privot;\n\n    \/\/ 1.\u53d6\u4f4e\u7aef\n    \/\/ privot = low;\n\n    \/\/ 2.\u968f\u673a\u53d6\n    \/\/ privot = new Random().nextInt(high - low + 1);\n\n    \/\/ 3.\u4e09\u8005\u53d6\u4e2d\n    int mid = (low + high) \/ 2; \/\/\u4e2d\u95f4\u4f4d\u7f6e\n    int[] threeSeq = {seq[low], seq[mid], seq[high]};\n    insertSortWithGap(threeSeq, 0, 1);\n    if(threeSeq[1] == seq[low]) privot = low;\n    else if(threeSeq[1] == seq[mid]) privot = mid;\n    else privot = high;\n\n    \/\/ \u628a\u67a2\u8f74\u4ea4\u6362\u5230\u4f4e\u7aef\u5904\u65b9\u4fbf\u64cd\u4f5c\n    swap(seq, low, privot);\n\n    return seq[low];\n}<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">\u5806\u6392\u5e8f<\/h3>\n\n\n\n<p>\u5806\u9996\u5148\u662f\u4e00\u68f5\u5b8c\u5168\u4e8c\u53c9\u6811\uff0c\u5373\u53ea\u6709\u6700\u4e0b\u9762\u7684\u4e24\u5c42\u7ed3\u70b9\u5ea6\u80fd\u591f\u5c0f\u4e8e2\uff0c\u5e76\u4e14\u6700\u4e0b\u9762\u4e00\u5c42\u7684\u7ed3\u70b9\u90fd\u96c6\u4e2d\u5728\u8be5\u5c42\u6700\u5de6\u8fb9\u7684\u82e5\u5e72\u4f4d\u7f6e\u7684\u4e8c\u53c9\u6811\u3002\u6ee1\u8db3\u8fd9\u4e2a\u6761\u4ef6\u4ee5\u540e\uff0c\u8fd8\u8981\u4fdd\u8bc1\u8fd9\u68f5\u6811\u7684\u6240\u6709\u5b50\u6811\u90fd\u6ee1\u8db3\u7236\u8282\u70b9\u5143\u7d20\u5927\u4e8e\u4e24\u4e2a\u5b50\u8282\u70b9\u5143\u7d20\uff0c\u8fd9\u6837\u7684\u5b8c\u5168\u4e8c\u53c9\u6811\u624d\u80fd\u88ab\u79f0\u4e3a\u5806\uff08\u5927\u9876\u5806\uff09\u3002<\/p>\n\n\n\n<p>\u65e2\u7136\u662f\u5b8c\u5168\u4e8c\u53c9\u6811\uff0c\u90a3\u4e48\u5b83\u5fc5\u7136\u6ee1\u8db3\u4e0b\u9762\u7684\u6027\u8d28\uff08\u5047\u8bbe\u6811\u7f16\u53f7\u4ece0\u5f00\u59cb\uff0c\u6b64\u65f6\u67d0\u7236\u8282\u70b9\u4e0b\u6807\u4e3ai\uff0c\u67d0\u5b50\u8282\u70b9\u4e0b\u6807\u4e3aj\uff09\uff1a<\/p>\n\n\n\n<ul>\n<li>\u7236\u8282\u70b9i\u7684\u5de6\u5b50\u8282\u70b9\u4e0b\u6807\u4e3a2i + 1<\/li>\n\n\n\n<li>\u7236\u8282\u70b9i\u7684\u53f3\u5b50\u8282\u70b9\u4e0b\u6807\u4e3a2i + 2<\/li>\n\n\n\n<li>\u5b50\u8282\u70b9j\u7684\u7236\u8282\u70b9\u4e0b\u6807\u4e3a(j &#8211; 1) \/ 2<\/li>\n<\/ul>\n\n\n\n<p>\u77e5\u9053\u6709\u4e0a\u9762\u6027\u8d28\u4ee5\u540e\u5c31\u597d\u529e\u4e86\uff0c\u6211\u4eec\u53ef\u4ee5\u76f4\u63a5\u7528\u4e00\u4e2a\u4e00\u7ef4\u6570\u7ec4\u8868\u793a\u6574\u4e2a\u5806\uff0c\u867d\u7136\u7269\u7406\u7ed3\u6784\u4e0a\u5e76\u975e\u4e00\u4e2a\u6811\u5f62\u7ed3\u6784\uff0c\u4f46\u6211\u4eec\u53ea\u8981\u4fdd\u8bc1\u7236\u5b50\u8282\u70b9\u95f4\u7684\u4e0b\u6807\u5173\u7cfb\uff0c\u5927\u5c0f\u5173\u7cfb\uff0c\u5b83\u5728\u903b\u8f91\u4e0a\u4fbf\u662f\u4e00\u4e2a\u5806\u3002<\/p>\n\n\n\n<p>\u90a3\u5177\u4f53\u5982\u4f55\u5b9e\u73b0\u5462\uff1f\u663e\u7136\uff0c\u6700\u521d\u6211\u4eec\u9762\u5bf9\u7684\u4e00\u4e2a\u539f\u59cb\u5e8f\u5217\u5b83\u591a\u534a\u90fd\u4e0d\u662f\u4e2a\u5806\uff0c\u90a3\u4e48\u6211\u4eec\u5c31\u9700\u8981\u628a\u5b83\u8c03\u6574\u6210\u4e00\u4e2a\u5806\uff08\u79f0\u4e3a\u5efa\u5806\uff09\u3002\u90a3\u4ece\u54ea\u91cc\u5f00\u59cb\u8c03\u6574\u5462\uff1f\u6211\u4eec\u8981\u8c03\u6574\u7684\u662f\u7236\u8282\u70b9\u4e0e\u5b50\u8282\u70b9\u7684\u5927\u5c0f\u5173\u7cfb\uff0c\u90a3\u4e48\u6211\u4eec\u4e0d\u59a8\u4ece\u540e\u5f80\u524d\u6570\uff0c\u4ece\u7b2c\u4e00\u4e2a\u7236\u8282\u70b9\u5f00\u59cb\u8c03\u6574\u5b83\u4e0e\u5176\u5b50\u8282\u70b9\u7684\u5927\u5c0f\u5173\u7cfb\uff0c\u8fd9\u6837\u9010\u4e2a\u8c03\u6574\u4e4b\u524d\u7684\u6240\u6709\u7236\u8282\u70b9\uff0c\u76f4\u5230\u8c03\u6574\u5b8c\u6839\u8282\u70b9\u540e\u4fbf\u5efa\u597d\u4e86\u6574\u4e2a\u5806\u3002\u6b64\u65f6\u5806\u9876\u5df2\u662f\u6574\u4e2a\u5e8f\u5217\u7684\u6700\u5927\u5143\u7d20\u4e86\uff0c\u5f88\u660e\u663e\u6211\u4eec\u53ea\u8981\u628a\u5b83\u53d6\u4e0b\u6765\uff08\u79f0\u4e3a\u9876\u5143\u7b5b\u4e0b\uff09\uff0c\u628a\u5b83\u4e0e\u5f53\u524d\u5806\u7684\u6700\u540e\u4e00\u4e2a\u5143\u7d20\u4ea4\u6362\uff08\u79f0\u4e3a\u5c3e\u5143\u7b5b\u4e0a\uff09\uff0c\u5373\u628a\u6700\u5927\u5143\u7d20\u5f52\u4f4d\u5e76\u786e\u5b9a\u4e0b\u6765\u4e86\u3002\u800c\u6b64\u65f6\u56e0\u4e3a\u5c3e\u5143\u7684\u7b5b\u4e0a\uff0c\u5bfc\u81f4\u4e86\u5806\u7684\u7834\u574f\uff0c\u6211\u4eec\u5fc5\u987b\u4ece\u6839\u8282\u70b9\u518d\u9010\u4e00\u5411\u4e0b\u9012\u5f52\u5730\u8c03\u6574\u5b50\u6811\u3002\u8fd9\u6837\u5faa\u73af\u5f80\u590d\uff0c\u7b2c\u4e8c\u6b21\u662f\u6b21\u5927\u5143\u7d20\u5f52\u4f4d\uff0c\u76f4\u5230\u6240\u6709\u5143\u7d20\u5f52\u4f4d\u3002<\/p>\n\n\n\n<p>\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=\"\">\/\/ \u5806\u6392\u5e8f\nvoid heapSort(int[] seq) {\n    \/\/ \u5efa\u5806\uff1a\u4ece\u7b2c\u4e00\u4e2a\u7236\u8282\u70b9\u5f00\u59cb\u8c03\u6574\u5b50\u5806\uff0c\u76f4\u5230\u6240\u6709\u7236\u8282\u70b9\u8c03\u6574\u5b8c\n    for (int i = (seq.length - 1) \/ 2; i >= 0; i--)\n        heapAdjust(seq, i, seq.length - 1);\n\n    \/\/ \u9876\u5143\u7b5b\u4e0b\uff0c\u5c3e\u5143\u7b5b\u4e0a\n    for (int i = seq.length - 1; i > 0; i--) {\n        swap(seq, 0, i); \/\/ \u7b5b\u4e0a\u3001\u7b5b\u4e0b\n        heapAdjust(seq, 0, i - 1); \/\/ \u91cd\u65b0\u8c03\u6574\u5806\n    }\n}\n\n\/\/ \u5c06start-end\u4e4b\u95f4\u7684\u5806\u8c03\u6574\u4e3a\u5927\u9876\u5806\nvoid heapAdjust(int[] seq, int start, int end) {\n    int topKey = seq[start]; \/\/ \u6682\u5b58\u4f4f\u5806\u9876\u4e0b\u6807\n    for (int i = 2 * start + 1; i &lt;= end; i = 2 * start + 1) {\n        \/\/ \u9009\u51fa\u5b50\u8282\u70b9\u8f83\u5927\u8005\n        int larger = i;\n        if (i + 1 &lt;= end &amp;&amp; seq[i + 1] > seq[i])\n            larger = i + 1;\n        if (topKey >= seq[larger])\n            break; \/\/ \u5806\u9876\u5df2\u662f\u6700\u5927\n\n        seq[start] = seq[larger]; \/\/ \u8f83\u5927\u8005\u79fb\u5230\u5806\u9876\n        start = larger; \/\/ \u6e38\u6807\u4e0b\u79fb\n    }\n\n    seq[start] = topKey; \/\/ \u9876\u5143\u5f52\u4f4d\n}<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">\u57fa\u6570\u6392\u5e8f<\/h3>\n\n\n\n<p>\u57fa\u6570\u6392\u5e8f\u5c31\u662f\u6309\u7167\u5b50\u5173\u952e\u5b57\u6765\u6392\u5e8f\u7684\u65b9\u6cd5\uff0c\u6309\u7167\u5b50\u5173\u952e\u5b57\u6743\u91cd\u7684\u5927\u5c0f\uff0c\u4ece\u5c0f\u5230\u5927\u8fdb\u884c<strong>\u5206\u914d<\/strong>\u548c<strong>\u6536\u96c6<\/strong>\u7684\u8fc7\u7a0b\uff1a<\/p>\n\n\n\n<ul>\n<li>\u5206\u914d\uff1a\u6839\u636e\u5b50\u5173\u952e\u5b57\u7684\u503c\uff0c\u5c06\u503c\u76f8\u540c\u7684\u5143\u7d20\u5f52\u7f6e\u4e8e\u8be5\u5b50\u5173\u952e\u5b57\u5bf9\u5e94\u7684\u6876\u4e2d<\/li>\n\n\n\n<li>\u6536\u96c6\uff1a\u6309\u5b50\u5173\u952e\u5b57\u503c\u4ece\u5c0f\u5230\u5927\u7684\u987a\u5e8f\uff0c\u4f9d\u6b21\u4ece\u5404\u4e2a\u6876\u4e2d\u63d0\u53d6\u5143\u7d20\u81f3\u65b0\u6570\u7ec4<\/li>\n<\/ul>\n\n\n\n<p>\u90a3\u4e48\u51e0\u8f6e\uff08\u5b50\u5173\u952e\u5b57\u6743\u91cd\u6570\u91cf\u51b3\u5b9a\uff09\u5206\u914d\u548c\u6536\u96c6\u4e0b\u6765\uff0c\u5c06\u81ea\u7136\u5f62\u6210\u4e00\u4e2a\u4ece\u5c0f\u5230\u5927\u7684\u6709\u5e8f\u5e8f\u5217\u3002\u9700\u8981\u8bf4\u660e\u7684\u662f\uff0c\u5728\u5b9e\u9645\u7f16\u7a0b\u5b9e\u73b0\u7684\u8fc7\u7a0b\u4e2d\uff0c\u6211\u4eec\u5e76\u4e0d\u9700\u8981\u771f\u7684\u5c06\u5143\u7d20\u5206\u914d\u81f3\u6876\u4e2d\u7684\u8fc7\u7a0b\uff0c\u800c\u53ef\u4ee5\u7528\u7edf\u8ba1\u5b50\u5173\u952e\u5b57\u503c\u7684\u6570\u91cf\u5e76\u5b58\u5165\u6876\u4e2d\u6765\u53d6\u4ee3\uff0c\u56e0\u4e3a\u6211\u4eec\u5e76\u4e0d\u5173\u5fc3\u5143\u7d20\u5728\u4e00\u4e2a\u6876\u4e2d\u7684\u987a\u5e8f\uff0c\u90a3\u4e48\u7591\u95ee\u53c8\u6765\u4e86\uff0c\u8fd9\u6837\u6211\u4eec\u53c8\u5982\u4f55\u6536\u96c6\u5462\uff1f\u90a3\u4e0d\u53ef\u907f\u514d\u7684\uff0c\u6211\u4eec\u5fc5\u987b\u518d\u8ba1\u7b97\u4e00\u6b21\u5143\u7d20\u7684\u5b50\u5173\u952e\u5b57\u503c\uff0c\u7136\u540e\u5b9a\u4f4d\u5230\u5bf9\u5e94\u7684\u6876\uff0c\u5e76\u6839\u636e\u6876\u6307\u5b9a\u7684\u4e0b\u6807\u5b58\u653e\u4f4d\u7f6e\uff0c\u5b58\u5165\u65b0\u6570\u7ec4\u4e2d\uff0c\u7136\u540e\u4e0b\u6807\u4e0b\u79fb\u3002\u8fd8\u6709\u82e5\u5e72\u7ec6\u8282\u5904\u7406\uff0c\u8be6\u89c1\u4ee3\u7801\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=\"\">\/\/ \u57fa\u6570\u6392\u5e8f\n\/\/ radix: \u57fa\u6570\u6700\u5927\u503c\n\/\/ range: \u5b50\u5173\u952e\u5b57\u6570\u91cf\nvoid radixSort(int[] seq, int radix, int range) {\n    int[] buckets = new int[radix]; \/\/ \u6876\u6570\u7ec4\uff1a\u957f\u5ea6\u4e3aradix\uff0c\u5b58\u653e\u5bf9\u5e94\u4e8eradix\u7684\u5143\u7d20\u4e2a\u6570\n    int[] tmpSeq = new int[seq.length]; \/\/ \u6682\u5b58\u6570\u7ec4\n\n    for (int i = 0, weight = 1; i &lt; range; i++) {\n        \n        Arrays.fill(buckets, 0); \/\/\u6e05\u7a7a\u6876\n        System.arraycopy(seq, 0, tmpSeq, 0, seq.length); \/\/\u590d\u5236\u5e8f\u5217\n        \n        \/\/\u7edf\u8ba1\u539f\u5e8f\u5217\u4e2d\u5bf9\u5e94\u6876\u5173\u952e\u5b57\u7684\u4e2a\u6570\uff0c\u5165\u6876\n        for(int j = 0; j &lt; tmpSeq.length; j++){\n            int subKey = (tmpSeq[j] \/ weight) % radix;\n            buckets[subKey]++; \n        }\n        \n        \/\/\u8ba1\u7b97\u6876\u4e2d\u4e2a\u6570\u8fbe\u5230\u7684\u6700\u5927\u4e0b\u6807\n        for(int j = 1; j &lt; buckets.length; j++){\n            buckets[j] = buckets[j] + buckets[j-1];\n        }\n        \n        \/\/\u904d\u5386tmpSeq\uff0c\u63d0\u53d6\u5173\u952e\u5b57\uff0c\u5e76\u6309\u7167\u6876\u4e2d\u6307\u5b9a\u4e0b\u6807\u5b58\u5165\u539f\u5e8f\u5217\n        for (int j = tmpSeq.length - 1; j >= 0; j--){\n            int subKey = (tmpSeq[j] \/ weight) % radix;\n            seq[buckets[subKey] - 1] = tmpSeq[j];\n            buckets[subKey]--;\n        }\n        \n        \/\/\u8ba1\u7b97\u4e0b\u4e00\u8f6e\u7684\u5173\u952e\u5b57\u6743\u91cd\n        weight *= radix;\n    }\n}<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">\u7ed3\u8bed<\/h3>\n\n\n\n<p>\u590d\u6742\u6392\u5e8f\u7b97\u6cd5\u5c31\u8bb0\u5f55\u8fd94\u79cd\u5566\uff0c\u66f4\u591a\u7684\u53ef\u4ee5\u53c2\u8003\u76f8\u5173\u4e66\u7c4d\u83b7\u6089\u3002\u4e0b\u4e00\u7ae0\u5c06\u7ed9\u51fa\u6240\u6709\u7b80\u5355\u6392\u5e8f\u7b97\u6cd5+\u590d\u6742\u6392\u5e8f\u7b97\u6cd5\u5728\u672c\u4eba\u673a\u5668\u4e0a\u3001\u4e0d\u540c\u89c4\u6a21\u7684\u6570\u636e\u4e0b\u7684\u5b9e\u9645\u8fd0\u884c\u65f6\u95f4\uff0c\u5e76\u7ed9\u51fa\u516c\u8ba4\u7684\u5404\u7b97\u6cd5\u65f6\u95f4\u590d\u6742\u5ea6\u4e0e\u7a7a\u95f4\u590d\u6742\u5ea6\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5f15\u8a00 \u672c\u7ae0\u8bb0\u5f55\u4e00\u4e9b\u5e73\u5747\u65f6\u95f4\u6548\u7387\u66f4\u9ad8\u7684\u6392\u5e8f\u7b97\u6cd5\uff0c\u4ed6\u4eec\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u901a\u5e38\u4e3a\\(O(n\\log n)\\)\u7ea7\u522b\uff0c\u4f46\u5176\u5b9e\u73b0 [&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\/545"}],"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=545"}],"version-history":[{"count":16,"href":"http:\/\/yaochenkun.site\/index.php\/wp-json\/wp\/v2\/posts\/545\/revisions"}],"predecessor-version":[{"id":2328,"href":"http:\/\/yaochenkun.site\/index.php\/wp-json\/wp\/v2\/posts\/545\/revisions\/2328"}],"wp:attachment":[{"href":"http:\/\/yaochenkun.site\/index.php\/wp-json\/wp\/v2\/media?parent=545"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/yaochenkun.site\/index.php\/wp-json\/wp\/v2\/categories?post=545"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/yaochenkun.site\/index.php\/wp-json\/wp\/v2\/tags?post=545"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}