{"id":72159,"date":"2026-02-04T23:48:59","date_gmt":"2026-02-04T15:48:59","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/72159.html"},"modified":"2026-02-04T23:48:59","modified_gmt":"2026-02-04T15:48:59","slug":"%e6%95%b0%e6%8d%ae%e7%bb%93%e6%9e%84%e6%8e%92%e5%ba%8f%e4%b8%8e%e7%ae%97%e6%b3%95","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/72159.html","title":{"rendered":"\u6570\u636e\u7ed3\u6784:\u6392\u5e8f\u4e0e\u7b97\u6cd5"},"content":{"rendered":"<p>\u00a0<\/p>\n<p>\u00a0<\/p>\n<h3>\u4e00\u3001\u6392\u5e8f\u7b97\u6cd5\u6982\u8ff0<\/h3>\n<p>\u00a0<\/p>\n<p>\u6392\u5e8f\u7b97\u6cd5\u662f\u8ba1\u7b97\u673a\u79d1\u5b66\u4e2d\u7684\u57fa\u7840\u7b97\u6cd5&#xff0c;\u7528\u4e8e\u5c06\u4e00\u7ec4\u6570\u636e\u6309\u7167\u7279\u5b9a\u987a\u5e8f\u91cd\u65b0\u6392\u5217\u3002\u6392\u5e8f\u7b97\u6cd5\u7684\u9009\u62e9\u53d6\u51b3\u4e8e\u6570\u636e\u89c4\u6a21\u3001\u521d\u59cb\u72b6\u6001\u3001\u7a33\u5b9a\u6027\u8981\u6c42\u53ca\u5185\u5b58\u7ea6\u675f\u7b49\u56e0\u7d20\u3002<\/p>\n<p>\u00a0<\/p>\n<h3>\u4e8c\u3001\u4e94\u79cd\u6392\u5e8f\u7b97\u6cd5\u7684\u539f\u7406\u4e0e\u6027\u80fd\u5206\u6790<\/h3>\n<p>\u00a0<\/p>\n<h4>1. \u5192\u6ce1\u6392\u5e8f&#xff08;Bubble Sort&#xff09;<\/h4>\n<p>\u00a0<\/p>\n<p>\u00b7 \u5de5\u4f5c\u539f\u7406&#xff1a;\u91cd\u590d\u904d\u5386\u5f85\u6392\u5e8f\u5e8f\u5217&#xff0c;\u4f9d\u6b21\u6bd4\u8f83\u76f8\u90bb\u5143\u7d20&#xff0c;\u82e5\u987a\u5e8f\u9519\u8bef\u5219\u4ea4\u6362&#xff0c;\u76f4\u5230\u6ca1\u6709\u5143\u7d20\u9700\u8981\u4ea4\u6362\u4e3a\u6b62<\/p>\n<p>\u00b7 \u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;<\/p>\n<p>\u00a0 \u00b7 \u6700\u597d\u60c5\u51b5&#xff1a;O(n)&#xff08;\u5df2\u6709\u5e8f\u5e8f\u5217&#xff09;<\/p>\n<p>\u00a0 \u00b7 \u6700\u574f\u60c5\u51b5&#xff1a;O(n\u00b2)&#xff08;\u5b8c\u5168\u9006\u5e8f&#xff09;<\/p>\n<p>\u00a0 \u00b7 \u5e73\u5747\u60c5\u51b5&#xff1a;O(n\u00b2)<\/p>\n<p>\u00b7 \u7a7a\u95f4\u590d\u6742\u5ea6&#xff1a;O(1)&#xff08;\u539f\u5730\u6392\u5e8f&#xff09;<\/p>\n<p>\u00b7 \u7a33\u5b9a\u6027&#xff1a;\u7a33\u5b9a&#xff08;\u76f8\u7b49\u5143\u7d20\u4e0d\u4f1a\u4ea4\u6362\u4f4d\u7f6e&#xff09;<\/p>\n<p>\u00b7 \u9002\u7528\u573a\u666f&#xff1a;\u6559\u5b66\u6f14\u793a\u3001\u5c0f\u89c4\u6a21\u6570\u636e\u6216\u8fd1\u4e4e\u6709\u5e8f\u7684\u6570\u636e<\/p>\n<p>\u00a0<\/p>\n<h4>2. \u9009\u62e9\u6392\u5e8f&#xff08;Selection Sort&#xff09;<\/h4>\n<p>\u00a0<\/p>\n<p>\u00b7 \u5de5\u4f5c\u539f\u7406&#xff1a;\u6bcf\u6b21\u4ece\u672a\u6392\u5e8f\u90e8\u5206\u9009\u53d6\u6700\u5c0f&#xff08;\u6216\u6700\u5927&#xff09;\u5143\u7d20&#xff0c;\u4e0e\u672a\u6392\u5e8f\u90e8\u5206\u7684\u7b2c\u4e00\u4e2a\u5143\u7d20\u4ea4\u6362&#xff0c;\u91cd\u590d\u76f4\u5230\u5168\u90e8\u6709\u5e8f<\/p>\n<p>\u00b7 \u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;<\/p>\n<p>\u00a0 \u00b7 \u6700\u597d\/\u6700\u574f\/\u5e73\u5747\u60c5\u51b5\u5747\u4e3a O(n\u00b2)<\/p>\n<p>\u00b7 \u7a7a\u95f4\u590d\u6742\u5ea6&#xff1a;O(1)<\/p>\n<p>\u00b7 \u7a33\u5b9a\u6027&#xff1a;\u4e0d\u7a33\u5b9a&#xff08;\u5982\u5e8f\u5217[5, 8, 5, 2]\u4e2d&#xff0c;\u7b2c\u4e00\u4e2a5\u4e0e2\u4ea4\u6362\u540e\u6539\u53d8\u76f8\u5bf9\u987a\u5e8f&#xff09;<\/p>\n<p>\u00b7 \u7279\u70b9&#xff1a;\u4ea4\u6362\u6b21\u6570\u5c11&#xff0c;\u4f46\u6bd4\u8f83\u6b21\u6570\u56fa\u5b9a\u4e3an(n-1)\/2\u6b21<\/p>\n<p>\u00a0<\/p>\n<h4>3. \u63d2\u5165\u6392\u5e8f&#xff08;Insertion Sort&#xff09;<\/h4>\n<p>\u00a0<\/p>\n<p>\u00b7 \u5de5\u4f5c\u539f\u7406&#xff1a;\u6784\u5efa\u6709\u5e8f\u5e8f\u5217&#xff0c;\u5bf9\u4e8e\u672a\u6392\u5e8f\u6570\u636e&#xff0c;\u5728\u5df2\u6392\u5e8f\u5e8f\u5217\u4e2d\u4ece\u540e\u5411\u524d\u626b\u63cf&#xff0c;\u627e\u5230\u76f8\u5e94\u4f4d\u7f6e\u5e76\u63d2\u5165<\/p>\n<p>\u00b7 \u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;<\/p>\n<p>\u00a0 \u00b7 \u6700\u597d\u60c5\u51b5&#xff1a;O(n)&#xff08;\u5df2\u6709\u5e8f\u5e8f\u5217&#xff09;<\/p>\n<p>\u00a0 \u00b7 \u6700\u574f\u60c5\u51b5&#xff1a;O(n\u00b2)&#xff08;\u5b8c\u5168\u9006\u5e8f&#xff09;<\/p>\n<p>\u00a0 \u00b7 \u5e73\u5747\u60c5\u51b5&#xff1a;O(n\u00b2)<\/p>\n<p>\u00b7 \u7a7a\u95f4\u590d\u6742\u5ea6&#xff1a;O(1)<\/p>\n<p>\u00b7 \u7a33\u5b9a\u6027&#xff1a;\u7a33\u5b9a&#xff08;\u5143\u7d20\u4ece\u540e\u5411\u524d\u6bd4\u8f83&#xff0c;\u76f8\u7b49\u65f6\u4e0d\u79fb\u52a8&#xff09;<\/p>\n<p>\u00b7 \u4f18\u52bf&#xff1a;\u5bf9\u5c0f\u89c4\u6a21\u6216\u57fa\u672c\u6709\u5e8f\u6570\u636e\u6548\u7387\u9ad8<\/p>\n<p>\u00a0<\/p>\n<h4>4. \u5e0c\u5c14\u6392\u5e8f&#xff08;Shell Sort&#xff09;<\/h4>\n<p>\u00a0<\/p>\n<p>\u00b7 \u5de5\u4f5c\u539f\u7406&#xff1a;\u6539\u8fdb\u7684\u63d2\u5165\u6392\u5e8f&#xff0c;\u901a\u8fc7\u5c06\u539f\u59cb\u5217\u8868\u5206\u5272\u4e3a\u591a\u4e2a\u5b50\u5e8f\u5217&#xff08;\u6309\u589e\u91cf\u5e8f\u5217&#xff09;\u5206\u522b\u8fdb\u884c\u63d2\u5165\u6392\u5e8f&#xff0c;\u9010\u6b65\u7f29\u5c0f\u589e\u91cf\u76f4\u81f3\u4e3a1<\/p>\n<p>\u00b7 \u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;<\/p>\n<p>\u00a0 \u00b7 \u4f9d\u8d56\u4e8e\u589e\u91cf\u5e8f\u5217\u7684\u9009\u62e9<\/p>\n<p>\u00a0 \u00b7 \u6700\u574f\u60c5\u51b5&#xff1a;O(n\u00b2)&#xff08;\u4f7f\u7528\u67d0\u4e9b\u589e\u91cf\u5e8f\u5217&#xff09;<\/p>\n<p>\u00a0 \u00b7 \u5e73\u5747\u60c5\u51b5&#xff1a;O(n log n) ~ O(n^(3\/2))<\/p>\n<p>\u00b7 \u7a7a\u95f4\u590d\u6742\u5ea6&#xff1a;O(1)<\/p>\n<p>\u00b7 \u7a33\u5b9a\u6027&#xff1a;\u4e0d\u7a33\u5b9a&#xff08;\u8de8\u8d8a\u591a\u4e2a\u4f4d\u7f6e\u7684\u5143\u7d20\u79fb\u52a8\u53ef\u80fd\u7834\u574f\u7a33\u5b9a\u6027&#xff09;<\/p>\n<p>\u00b7 \u7279\u70b9&#xff1a;\u9996\u4e2a\u7a81\u7834O(n\u00b2)\u65f6\u95f4\u590d\u6742\u5ea6\u7684\u6392\u5e8f\u7b97\u6cd5<\/p>\n<p>\u00a0<\/p>\n<h4>5. \u5feb\u901f\u6392\u5e8f&#xff08;Quick Sort&#xff09;<\/h4>\n<p>\u00a0<\/p>\n<p>\u00b7 \u5de5\u4f5c\u539f\u7406&#xff1a;\u5206\u6cbb\u7b56\u7565<\/p>\n<p>\u00a0 1. \u9009\u53d6\u57fa\u51c6\u5143\u7d20&#xff08;pivot&#xff09;<\/p>\n<p>\u00a0 2. \u5c06\u5e8f\u5217\u5206\u4e3a\u4e24\u90e8\u5206&#xff1a;\u5c0f\u4e8e\u57fa\u51c6\u548c\u5927\u4e8e\u57fa\u51c6<\/p>\n<p>\u00a0 3. \u9012\u5f52\u5730\u5bf9\u4e24\u90e8\u5206\u8fdb\u884c\u5feb\u901f\u6392\u5e8f<\/p>\n<p>\u00b7 \u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;<\/p>\n<p>\u00a0 \u00b7 \u6700\u597d\u60c5\u51b5&#xff1a;O(n log n)&#xff08;\u6bcf\u6b21\u5212\u5206\u5747\u8861&#xff09;<\/p>\n<p>\u00a0 \u00b7 \u6700\u574f\u60c5\u51b5&#xff1a;O(n\u00b2)&#xff08;\u6bcf\u6b21\u5212\u5206\u6781\u4e0d\u5747\u8861&#xff09;<\/p>\n<p>\u00a0 \u00b7 \u5e73\u5747\u60c5\u51b5&#xff1a;O(n log n)<\/p>\n<p>\u00b7 \u7a7a\u95f4\u590d\u6742\u5ea6&#xff1a;O(log n)&#xff08;\u9012\u5f52\u8c03\u7528\u6808\u6df1\u5ea6&#xff09;<\/p>\n<p>\u00b7 \u7a33\u5b9a\u6027&#xff1a;\u4e0d\u7a33\u5b9a&#xff08;\u5143\u7d20\u4ea4\u6362\u53ef\u80fd\u7834\u574f\u76f8\u5bf9\u987a\u5e8f&#xff09;<\/p>\n<p>\u00b7 \u4f18\u5316\u7b56\u7565&#xff1a;\u968f\u673a\u9009\u62e9\u57fa\u51c6\u3001\u4e09\u6570\u53d6\u4e2d\u6cd5\u3001\u5c0f\u6570\u7ec4\u5207\u6362\u4e3a\u63d2\u5165\u6392\u5e8f<\/p>\n<p>\u00a0<\/p>\n<h3>\u4e09\u3001\u67e5\u627e\u7b97\u6cd5&#xff1a;\u6298\u534a\u67e5\u627e<\/h3>\n<p>\u00a0<\/p>\n<h4>1. \u6298\u534a\u67e5\u627e&#xff08;Binary Search&#xff09;<\/h4>\n<p>\u00a0<\/p>\n<p>\u00b7 \u524d\u63d0\u6761\u4ef6&#xff1a;\u6570\u636e\u5fc5\u987b\u5728\u6709\u5e8f\u6570\u7ec4\u4e2d<\/p>\n<p>\u00b7 \u5de5\u4f5c\u539f\u7406&#xff1a;<\/p>\n<p>\u00a0 1. \u786e\u5b9a\u67e5\u627e\u8303\u56f4\u7684\u4e2d\u95f4\u4f4d\u7f6e<\/p>\n<p>\u00a0 2. \u6bd4\u8f83\u4e2d\u95f4\u5143\u7d20\u4e0e\u76ee\u6807\u503c<\/p>\n<p>\u00a0 3. \u82e5\u76f8\u7b49\u5219\u67e5\u627e\u6210\u529f&#xff1b;\u82e5\u76ee\u6807\u503c\u5c0f\u4e8e\u4e2d\u95f4\u5143\u7d20&#xff0c;\u5219\u5728\u5de6\u534a\u90e8\u5206\u7ee7\u7eed\u67e5\u627e&#xff1b;\u5426\u5219\u5728\u53f3\u534a\u90e8\u5206\u67e5\u627e<\/p>\n<p>\u00a0 4. \u91cd\u590d\u4e0a\u8ff0\u6b65\u9aa4\u76f4\u81f3\u67e5\u627e\u6210\u529f\u6216\u8303\u56f4\u4e3a\u7a7a<\/p>\n<p>\u00b7 \u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;O(log n)<\/p>\n<p>\u00b7 \u7a7a\u95f4\u590d\u6742\u5ea6&#xff1a;O(1)&#xff08;\u8fed\u4ee3\u5b9e\u73b0&#xff09;\u6216 O(log n)&#xff08;\u9012\u5f52\u5b9e\u73b0&#xff09;<\/p>\n<p>\u00b7 \u7a33\u5b9a\u6027&#xff1a;\u67e5\u627e\u7b97\u6cd5\u4e0d\u6d89\u53ca\u7a33\u5b9a\u6027\u6982\u5ff5<\/p>\n<p>\u00b7 \u7279\u70b9&#xff1a;\u6548\u7387\u9ad8\u4f46\u4ec5\u9002\u7528\u4e8e\u6709\u5e8f\u9759\u6001\u6570\u636e<\/p>\n<p>\u00a0<\/p>\n<h3>\u56db\u3001\u7b97\u6cd5\u6bd4\u8f83\u4e0e\u9009\u62e9\u5efa\u8bae<\/h3>\n<p>\u00a0<\/p>\n<h4>1. \u65f6\u95f4\u590d\u6742\u5ea6\u5bf9\u6bd4<\/h4>\n<p>\u00a0<\/p>\n<p>\u7b97\u6cd5 \u6700\u597d\u60c5\u51b5 \u5e73\u5747\u60c5\u51b5 \u6700\u574f\u60c5\u51b5 \u7a7a\u95f4\u590d\u6742\u5ea6<\/p>\n<p>\u5192\u6ce1\u6392\u5e8f O(n) O(n\u00b2) O(n\u00b2) O(1)<\/p>\n<p>\u9009\u62e9\u6392\u5e8f O(n\u00b2) O(n\u00b2) O(n\u00b2) O(1)<\/p>\n<p>\u63d2\u5165\u6392\u5e8f O(n) O(n\u00b2) O(n\u00b2) O(1)<\/p>\n<p>\u5e0c\u5c14\u6392\u5e8f O(n log n) \u53d6\u51b3\u4e8e\u589e\u91cf\u5e8f\u5217 O(n\u00b2) O(1)<\/p>\n<p>\u5feb\u901f\u6392\u5e8f O(n log n) O(n log n) O(n\u00b2) O(log n)<\/p>\n<p>\u00a0<\/p>\n<h4>2. 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\u67e5\u627e\u64cd\u4f5c\u9891\u7e41&#xff1a;\u5148\u6392\u5e8f&#xff08;\u5feb\u901f\u6392\u5e8f&#xff09;\u540e\u4f7f\u7528\u6298\u534a\u67e5\u627e<\/p>\n<p>\u00a0<\/p>\n<h3>\u4e94\u3001C\u8bed\u8a00\u5b9e\u73b0\u8981\u70b9\u8865\u5145<\/h3>\n<p>\u00a0<\/p>\n<h4>1. \u6392\u5e8f\u7b97\u6cd5\u7684\u5b9e\u73b0\u6280\u5de7<\/h4>\n<p>\u00a0<\/p>\n<p>\u00b7 \u5192\u6ce1\u6392\u5e8f\u53ef\u6dfb\u52a0\u6807\u5fd7\u4f4d\u4f18\u5316&#xff0c;\u82e5\u67d0\u6b21\u904d\u5386\u65e0\u4ea4\u6362\u5219\u63d0\u524d\u7ed3\u675f<\/p>\n<p>\u00b7 \u5feb\u901f\u6392\u5e8f\u5e94\u907f\u514d\u9012\u5f52\u6df1\u5ea6\u8fc7\u5927&#xff0c;\u53ef\u91c7\u7528\u6808\u6a21\u62df\u9012\u5f52<\/p>\n<p>\u00b7 \u5e0c\u5c14\u6392\u5e8f\u7684\u589e\u91cf\u5e8f\u5217\u9009\u62e9\u5f71\u54cd\u6027\u80fd&#xff08;\u5e38\u7528&#xff1a;Hibbard\u5e8f\u5217\u3001Sedgewick\u5e8f\u5217&#xff09;<\/p>\n<p>\u00a0<\/p>\n<h4>2. \u6298\u534a\u67e5\u627e\u7684\u8fb9\u754c\u5904\u7406<\/h4>\n<p>\u00a0<\/p>\n<p>\u00b7 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