{"id":104281,"date":"2026-09-12T10:49:09","date_gmt":"2026-09-12T02:49:09","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/104281.html"},"modified":"2026-09-12T10:49:09","modified_gmt":"2026-09-12T02:49:09","slug":"%e4%ba%8c%e5%88%86%e6%9f%a5%e6%89%be%e7%ae%97%e6%b3%95","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/104281.html","title":{"rendered":"\u4e8c\u5206\u67e5\u627e\u7b97\u6cd5"},"content":{"rendered":"<h2>1. \u8bb2\u89e3<\/h2>\n<h3>\u662f\u4ec0\u4e48&#xff1f;<\/h3>\n<p>\u4e8c\u5206\u67e5\u627e\u662f\u4e00\u79cd\u57fa\u4e8e\u5206\u6cbb\u7b56\u7565&#xff08;\u66f4\u51c6\u786e\u5730\u8bf4\u662f\u51cf\u6cbb\u7b56\u7565&#xff09;\u7684\u641c\u7d22\u7b97\u6cd5\u3002\u5b83\u901a\u8fc7\u5c06\u641c\u7d22\u533a\u95f4\u4e0d\u65ad\u5bf9\u534a\u5206\u5272&#xff0c;\u5c06\u641c\u7d22\u7a7a\u95f4\u7f29\u5c0f\u4e3a\u539f\u6765\u7684\u4e00\u534a&#xff0c;\u76f4\u5230\u627e\u5230\u76ee\u6807\u5143\u7d20\u6216\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u3002<\/p>\n<p>\u4e8c\u5206\u67e5\u627e\u7684\u672c\u8d28\u5e76\u975e\u201c\u6570\u7ec4\u6709\u5e8f\u201d&#xff0c;\u800c\u662f\u201c\u4e8c\u6bb5\u6027\u201d\u3002<\/p>\n<p>\u8981\u6c42\u6570\u636e\u652f\u6301\u968f\u673a\u8bbf\u95ee&#xff1a;\u901a\u5e38\u57fa\u4e8e\u6570\u7ec4&#xff08;\u53ef\u4ee5\u901a\u8fc7\u4e0b\u6807 O(1) \u65f6\u95f4\u8bbf\u95ee\u5143\u7d20&#xff09;&#xff0c;\u4e0d\u9002\u5408\u94fe\u8868\u3002<\/p>\n<h3>\u4ec0\u4e48\u65f6\u5019\u7528&#xff1f;<\/h3>\n<p>\u5229\u7528\u4e8c\u6bb5\u6027&#xff1a;\u5f53\u53d1\u73b0\u4e00\u4e2a\u89c4\u5f8b&#xff0c;\u5e76\u6839\u636e\u8fd9\u4e2a\u89c4\u5f8b\u9009\u53d6\u67d0\u4e00\u4e2a\u70b9\u540e&#xff0c;\u80fd\u628a\u6570\u7ec4\u5206\u6210\u4e24\u4e2a\u90e8\u5206&#xff0c;\u7136\u540e\u80fd\u6839\u636e\u89c4\u5f8b\u6709\u9009\u62e9\u6027\u5730\u820d\u5f03\u4e00\u90e8\u5206&#xff0c;\u8fdb\u800c\u5230\u53e6\u4e00\u90e8\u5206\u4e2d\u7ee7\u7eed\u67e5\u627e&#xff0c;\u5c31\u53ef\u4ee5\u4f7f\u7528\u4e8c\u5206\u7b97\u6cd5\u3002<\/p>\n<h3>\u600e\u4e48\u7528&#xff1f;<\/h3>\n<p>\u4e8c\u5206\u67e5\u627e\u7684\u6a21\u677f\u4e3b\u8981\u5206\u4e3a\u4e09\u79cd&#xff0c;\u7ec6\u8282\u4e3b\u8981\u96c6\u4e2d\u5728\u5faa\u73af\u6761\u4ef6\u548c\u6c42\u4e2d\u70b9\u7684\u65b9\u5f0f\u4e0a<\/p>\n<h3>\u6a21\u677f<\/h3>\n<p><span style=\"background-color:null\">1. <\/span><span style=\"background-color:#c7e6ea\">\u6734\u7d20\u4e8c\u5206<\/span>&#xff1a;\u9002\u7528\u4e8e\u5728\u6570\u7ec4\u4e2d\u67e5\u627e\u67d0\u4e2a\u5177\u4f53\u503c\u662f\u5426\u5b58\u5728<\/p>\n<p>while (left &lt;&#061; right) { \/\/ \u7279\u522b\u6ce8\u610f\u8fd9\u91cc\u662f\u6709\u7b49\u53f7\u7684<br \/>\n\u00a0 \u00a0 \u00a0int mid &#061; left &#043; (right &#8211; left) \/ 2; \/\/ \u9632\u6ea2\u51fa<br \/>\n\u00a0 \u00a0 \u00a0if (&#8230;&#8230;) {<br \/>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0left &#061; mid &#043; 1;<br \/>\n\u00a0 \u00a0  } else if (&#8230;&#8230;) {<br \/>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0right &#061; mid &#8211; 1;<br \/>\n\u00a0 \u00a0  } else {<br \/>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0return &#8230;&#8230;;<br \/>\n\u00a0 \u00a0  }<br \/>\n\u00a0} <\/p>\n<ul>\n<li>\n<p>\u7ec6\u82821&#xff1a;\u5faa\u73af\u6761\u4ef6\u3002\u4e3a\u4ec0\u4e48\u662f left &lt;&#061; right&#xff1f;\u56e0\u4e3a\u5f53\u533a\u95f4\u7f29\u5c0f\u5230\u4e00\u4e2a\u70b9\u65f6&#xff08;left &#061;&#061; right&#xff09;&#xff0c;\u8fd9\u4e2a\u6570\u8fd8\u662f\u672a\u77e5\u7684&#xff0c;\u9700\u8981\u653e\u5165\u5faa\u73af\u91cc\u8fdb\u884c\u4e00\u6b21\u5224\u65ad\u3002<\/p>\n<\/li>\n<li>\n<p>\u7ec6\u82822&#xff1a;\u6c42\u4e2d\u70b9\u3002\u5947\u6570\u4e2a\u5143\u7d20\u65f6&#xff0c;left &#043; (right &#8211; left) \/ 2 \u548c left &#043; (right &#8211; left &#043; 1) \/ 2 \u6307\u5411\u7684\u4f4d\u7f6e\u76f8\u540c&#xff1b;\u5076\u6570\u4e2a\u5143\u7d20\u65f6&#xff0c; \u6307\u5411\u7684\u4f4d\u7f6e\u4e0d\u540c\u3002\u5728\u6734\u7d20\u4e8c\u5206\u4e2d&#xff0c;\u53ea\u8981\u627e\u5230\u80fd\u5c06\u5b83\u5212\u5206\u5f00\u7684\u70b9\u5c31\u884c&#xff0c;\u504f\u5de6\u504f\u53f3\u6ca1\u6709\u5f71\u54cd\u3002<\/p>\n<\/li>\n<\/ul>\n<p>2.\u00a0<span style=\"background-color:#c7e6ea\">\u67e5\u627e\u5de6\u8fb9\u754c\u7684\u4e8c\u5206<\/span><\/p>\n<p>\u5f53\u6570\u7ec4\u4e2d\u6709\u91cd\u590d\u5143\u7d20&#xff0c;\u6216\u8005\u9700\u8981\u5bfb\u627e\u6ee1\u8db3\u67d0\u6761\u4ef6\u7684\u7b2c\u4e00\u4e2a\u4f4d\u7f6e\u65f6\u4f7f\u7528<\/p>\n<p>while (left &lt; right) { \/\/ \u6ce8\u610f\u8fd9\u91cc\u6ca1\u6709\u7b49\u53f7<br \/>\n\u00a0 \u00a0 \u00a0int mid &#061; left &#043; (right &#8211; left) \/ 2; \/\/ \u504f\u5de6\u4e2d\u70b9<br \/>\n\u00a0 \u00a0 \u00a0if (&#8230;&#8230;) {<br \/>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0left &#061; mid &#043; 1;<br \/>\n\u00a0 \u00a0  } else {<br \/>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0right &#061; mid;<br \/>\n\u00a0 \u00a0  }<br \/>\n\u00a0} <\/p>\n<ul>\n<li>\n<p>\u5faa\u73af\u6761\u4ef6&#xff1a;left &lt; right\u3002\u5f53 left &#061;&#061; right \u7684\u65f6\u5019&#xff0c;\u5c31\u662f\u6700\u7ec8\u7ed3\u679c&#xff0c;\u65e0\u9700\u7ee7\u7eed\u5224\u65ad\u3002\u5982\u679c\u7528 &lt;&#061;&#xff0c;\u4f1a\u9020\u6210\u6b7b\u5faa\u73af\u3002&#xff08;\u56e0\u4e3aleft &#061;&#061; right \u65f6&#xff0c;\u6ee1\u8db3 right &#061;&#061; mid &#xff0c;\u4f1a\u89e6\u53d1 else \u5206\u652f&#xff0c;\u4f46\u51fa\u53d1\u540e right \u7684\u503c\u6ca1\u6709\u53d8&#xff0c;\u5c31\u4f1a\u4e00\u76f4\u9677\u5165\u6b7b\u5faa\u73af&#xff09;<\/p>\n<\/li>\n<li>\n<p>\u6c42\u4e2d\u70b9&#xff1a;\u4f7f\u7528 left &#043; (right &#8211; left) \/ 2&#xff08;\u504f\u5de6&#xff09;&#xff0c;\u914d\u5408 else right &#061; mid \u907f\u514d\u6b7b\u5faa\u73af\u3002<\/p>\n<\/li>\n<\/ul>\n<ul>\n<li>\n<p>\u53e3\u8bc0&#xff1a;\u8ba9\u4e0b\u9762\u51fa\u73b0 -1 \u7684\u65f6\u5019&#xff08;\u5982 right &#061; mid &#8211; 1&#xff09;&#xff0c;\u4e0a\u9762\u5c31\u52a0 &#043;1\u3002\u6b64\u5904 else \u662f right &#061; mid&#xff0c;\u6ca1\u6709\u51cf1&#xff0c;\u6240\u4ee5\u4e0a\u9762 left &#061; mid &#043; 1\u3002<\/p>\n<\/li>\n<\/ul>\n<p>3. <span style=\"background-color:#c7e6ea\">\u67e5\u627e\u53f3\u8fb9\u754c\u7684\u4e8c\u5206<\/span>&#xff1a;\u5f53\u6570\u7ec4\u4e2d\u6709\u91cd\u590d\u5143\u7d20&#xff0c;\u6216\u8005\u9700\u8981\u5bfb\u627e\u6ee1\u8db3\u67d0\u6761\u4ef6\u7684\u6700\u540e\u4e00\u4e2a\u4f4d\u7f6e\u65f6\u4f7f\u7528<\/p>\n<p>while (left &lt; right) { \/\/ \u6ce8\u610f\u8fd9\u91cc\u6ca1\u6709\u7b49\u53f7<br \/>\n\u00a0 \u00a0 \u00a0int mid &#061; left &#043; (right &#8211; left &#043; 1) \/ 2; \/\/ \u504f\u53f3\u4e2d\u70b9&#xff0c;\u9632\u6b7b\u5faa\u73af<br \/>\n\u00a0 \u00a0 \u00a0if (&#8230;&#8230;) {<br \/>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0left &#061; mid;<br \/>\n\u00a0 \u00a0  } else {<br \/>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0right &#061; mid &#8211; 1;<br \/>\n\u00a0 \u00a0  }<br \/>\n\u00a0} <\/p>\n<ul>\n<li>\n<p>\u5faa\u73af\u6761\u4ef6&#xff1a;&#xff1a;left &lt; right\u3002\u5f53 left &#061;&#061; right \u7684\u65f6\u5019&#xff0c;\u5c31\u662f\u6700\u7ec8\u7ed3\u679c&#xff0c;\u65e0\u9700\u7ee7\u7eed\u5224\u65ad\u3002\u5982\u679c\u7528 &lt;&#061;&#xff0c;\u4f1a\u9020\u6210\u6b7b\u5faa\u73af\u3002&#xff08;\u56e0\u4e3aleft &#061;&#061; right \u65f6&#xff0c;\u6ee1\u8db3 left &#061;&#061; mid &#xff0c;\u4f1a\u89e6\u53d1 else \u5206\u652f&#xff0c;\u4f46\u51fa\u53d1\u540e left \u7684\u503c\u6ca1\u6709\u53d8&#xff0c;\u5c31\u4f1a\u4e00\u76f4\u9677\u5165\u6b7b\u5faa\u73af&#xff09;<\/p>\n<\/li>\n<li>\n<p>\u6c42\u4e2d\u70b9&#xff1a;\u5fc5\u987b\u4f7f\u7528 left &#043; (right &#8211; left &#043; 1) \/ 2&#xff08;\u504f\u53f3\u4e2d\u70b9&#xff09;\u3002<\/p>\n<\/li>\n<li>\n<p>\u53e3\u8bc0&#xff1a;\u4e0b\u9762\u51fa\u73b0 -1 \u7684\u65f6\u5019&#xff08;right &#061; mid &#8211; 1&#xff09;&#xff0c;\u4e0a\u9762\u5c31\u52a0 &#043;1&#xff08;(right &#8211; left &#043; 1) \/ 2&#xff09;\u3002<\/p>\n<\/li>\n<\/ul>\n<h3>\u65f6\u95f4\u590d\u6742\u5ea6<\/h3>\n<p>\u66b4\u529b\u89e3\u6cd5\u5728\u904d\u5386\u65f6\u6bcf\u6b21\u53ea\u80fd\u5e72\u6389\u4e00\u4e2a\u6570&#xff0c;\u6700\u574f\u60c5\u51b5\u4e0b\u9700\u8981\u904d\u5386\u6574\u4e2a\u6570\u7ec4&#xff0c;\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a O(n)\u3002<\/p>\n<p>\u4e8c\u5206\u67e5\u627e\u6bcf\u6b21\u53ef\u4ee5\u6392\u9664\u4e00\u534a\u7684\u6570\u636e&#xff0c;\u5373\u201c\u533a\u95f4\u5927\u5c0f\u201d\u53d8\u5316\u4e3a&#xff1a;n \u2192 n\/2 \u2192 n\/4 \u2192 &#8230; \u2192 1\u3002<\/p>\n<p>\u5047\u8bbe\u5faa\u73af\u6267\u884c\u4e86 x \u6b21&#xff0c;\u5219 2^x &#061; n&#xff0c;\u63a8\u5bfc\u51fa x &#061; log n\u3002\u56e0\u6b64\u4e8c\u5206\u67e5\u627e\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a O(log n)\u3002<\/p>\n<h3>\u4f8b\u9898\u4e00&#xff1a;\u4e8c\u5206\u67e5\u627e&#xff08;\u6734\u7d20\u4e8c\u5206&#xff09;<\/h3>\n<p>\u9898\u76ee\u63cf\u8ff0&#xff1a;\u7ed9\u5b9a\u4e00\u4e2a n \u4e2a\u5143\u7d20\u6709\u5e8f\u7684\u6574\u578b\u6570\u7ec4 nums \u548c\u4e00\u4e2a\u76ee\u6807\u503c target&#xff0c;\u5199\u4e00\u4e2a\u51fd\u6570\u641c\u7d22 nums \u4e2d\u7684 target&#xff0c;\u5982\u679c\u76ee\u6807\u503c\u5b58\u5728\u8fd4\u56de\u4e0b\u6807&#xff0c;\u5426\u5219\u8fd4\u56de -1\u3002<\/p>\n<p>\u89e3\u9898\u601d\u8def&#xff1a;<\/p>\n<ul>\n<li>\n<p>\u66b4\u529b\u89e3\u6cd5&#xff1a;\u904d\u5386\u6574\u4e2a\u6570\u7ec4&#xff0c;\u9010\u4e2a\u5143\u7d20\u4e0e target \u6bd4\u8f83&#xff0c;\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\u3002\u8fd9\u79cd\u65b9\u6cd5\u5b8c\u5168\u6ca1\u6709\u5229\u7528\u6570\u7ec4\u6709\u5e8f\u8fd9\u4e00\u5173\u952e\u6761\u4ef6&#xff0c;\u5728\u6570\u636e\u91cf\u8f83\u5927\u65f6\u6548\u7387\u4f4e\u4e0b&#xff0c;\u56e0\u6b64\u9700\u8981\u4f18\u5316\u3002\u5728\u601d\u8003\u4f18\u5316\u65b9\u5411\u65f6&#xff0c;\u53ef\u4ee5\u4f18\u5148\u4ece\u6570\u7ec4\u6709\u5e8f\u8fd9\u4e00\u70b9\u5165\u624b&#xff0c;\u56e0\u4e3a\u6709\u5e8f\u6027\u5f80\u5f80\u610f\u5473\u7740\u53ef\u4ee5\u8df3\u8fc7\u5927\u91cf\u65e0\u6548\u6bd4\u8f83\u3002<\/p>\n<\/li>\n<li>\n<p>\u62bd\u8c61\u51fa\u4e8c\u6bb5\u6027&#xff1a;\u5728\u6570\u7ec4\u4e2d\u968f\u4fbf\u627e\u4e00\u4e2a\u70b9&#xff0c;\u7528\u8fd9\u4e2a\u6570\u548c target \u6bd4\u8f83\u3002\u6bd4\u8f83\u5b8c\u4e4b\u540e&#xff0c;\u8fd9\u4e2a\u70b9\u4f1a\u628a\u6570\u7ec4\u5929\u7136\u5730\u5212\u5206\u6210\u4e24\u4e2a\u533a\u57df&#xff1a;\u4e00\u8fb9\u662f\u5c0f\u4e8e target \u7684\u90e8\u5206&#xff0c;\u53e6\u4e00\u8fb9\u662f\u5927\u4e8e target \u7684\u90e8\u5206\u3002\u6839\u636e\u8fd9\u4e2a\u89c4\u5f8b&#xff0c;\u6211\u4eec\u5c31\u53ef\u4ee5\u76f4\u63a5\u820d\u5f03\u5176\u4e2d\u4e00\u90e8\u5206&#xff0c;\u53ea\u53bb\u53e6\u4e00\u90e8\u5206\u4e2d\u7ee7\u7eed\u5bfb\u627e\u7ed3\u679c&#xff0c;\u4ece\u800c\u5927\u5e45\u7f29\u5c0f\u641c\u7d22\u8303\u56f4\u3002<\/p>\n<\/li>\n<li>\n<p>\u672c\u9898\u7684\u4e8c\u6bb5\u6027\u5f88\u660e\u663e&#xff1a;x &lt; t \u548c x &gt; t \u5206\u5c45\u4e24\u4fa7\u3002\u4e5f\u5c31\u662f\u8bf4&#xff0c;\u4ee5 target \u4e3a\u5206\u754c\u70b9&#xff0c;\u6570\u7ec4\u88ab\u6e05\u6670\u5730\u5206\u6210\u5de6\u5c0f\u53f3\u5927\u4e24\u4e2a\u533a\u95f4&#xff0c;\u8fd9\u6b63\u662f\u6734\u7d20\u4e8c\u5206\u80fd\u591f\u9ad8\u6548\u5de5\u4f5c\u7684\u524d\u63d0\u3002<\/p>\n<\/li>\n<\/ul>\n<p>\u7ec6\u8282\u5904\u7406&#xff1a;<\/p>\n<li>\n<p>\u5faa\u73af\u6761\u4ef6&#xff1a;\u5fc5\u987b\u662f left &lt;&#061; right\u3002\u5f53 left &#061;&#061; right \u65f6&#xff0c;\u533a\u95f4\u7f29\u5c0f\u5230\u4e00\u4e2a\u6570&#xff0c;\u8fd9\u4e2a\u6570\u4e5f\u662f\u672a\u77e5\u7684&#xff0c;\u4ecd\u7136\u9700\u8981\u653e\u5165\u5faa\u73af\u4e2d\u8fdb\u884c\u4e00\u6b21\u5224\u65ad\u3002\u5982\u679c\u5199\u6210 left &lt; right&#xff0c;\u5c31\u4f1a\u6f0f\u6389\u8fd9\u4e2a\u552f\u4e00\u5143\u7d20&#xff0c;\u5bfc\u81f4\u7ed3\u679c\u9519\u8bef\u3002<\/p>\n<\/li>\n<li>\n<p>\u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;\u4e3a\u4ec0\u4e48\u53d6\u4e2d\u70b9\u800c\u4e0d\u662f\u5176\u4ed6\u4f4d\u7f6e&#xff1f;\u56e0\u4e3a\u901a\u8fc7\u6570\u5b66\u671f\u671b\u53ef\u4ee5\u8bc1\u660e&#xff0c;\u6bcf\u6b21\u53d6\u4e2d\u70b9\u65f6&#xff0c;\u65e0\u8bba\u76ee\u6807\u5728\u5de6\u534a\u533a\u8fd8\u662f\u53f3\u534a\u533a&#xff0c;\u6392\u9664\u7684\u5143\u7d20\u6570\u91cf\u90fd\u662f\u6700\u591a\u7684&#xff0c;\u6b64\u65f6\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u662f\u6700\u4f18\u7684\u3002\u4e8c\u5206\u67e5\u627e\u4f1a\u51cf\u5c11\u5f88\u591a\u6b21\u6267\u884c&#xff0c;\u6700\u574f\u60c5\u51b5\u662f O(log n)\u3002<\/p>\n<\/li>\n<p>\u4ee3\u7801\u5b9e\u73b0&#xff1a;<\/p>\n<p>class Solution {<br \/>\n    public int search(int[] nums, int target) {<br \/>\n        int left &#061; 0, right &#061; nums.length &#8211; 1;<br \/>\n        while (left &lt;&#061; right) {<br \/>\n            int mid &#061; left &#043; (right &#8211; left) \/ 2; \/\/ \u9632\u6ea2\u51fa<br \/>\n            if (nums[mid] &lt; target) {<br \/>\n                left &#061; mid &#043; 1;      \/\/ \u76ee\u6807\u5728\u53f3\u534a\u533a&#xff0c;\u6536\u7f29\u5de6\u8fb9\u754c<br \/>\n            } else if (nums[mid] &gt; target) {<br \/>\n                right &#061; mid &#8211; 1;     \/\/ \u76ee\u6807\u5728\u5de6\u534a\u533a&#xff0c;\u6536\u7f29\u53f3\u8fb9\u754c<br \/>\n            } else {<br \/>\n                return mid;          \/\/ \u627e\u5230\u76ee\u6807&#xff0c;\u8fd4\u56de\u4e0b\u6807<br \/>\n            }<br \/>\n        }<br \/>\n        return -1;                   \/\/ \u5faa\u73af\u7ed3\u675f\u4ecd\u672a\u627e\u5230&#xff0c;\u8fd4\u56de -1<br \/>\n    }<br \/>\n} <\/p>\n<h3>\u4f8b\u9898\u4e8c&#xff1a;\u5728\u6392\u5e8f\u6570\u7ec4\u4e2d\u67e5\u627e\u5143\u7d20\u7684\u7b2c\u4e00\u4e2a\u548c\u6700\u540e\u4e00\u4e2a\u4f4d\u7f6e&#xff08;\u5de6\u53f3\u8fb9\u754c\u4e8c\u5206&#xff09;<\/h3>\n<p>\u9898\u76ee\u63cf\u8ff0&#xff1a;\u7ed9\u5b9a\u4e00\u4e2a\u6309\u7167\u975e\u9012\u51cf\u987a\u5e8f\u6392\u5217\u7684\u6574\u6570\u6570\u7ec4 nums&#xff0c;\u548c\u4e00\u4e2a\u76ee\u6807\u503c target\u3002\u627e\u51fa\u7ed9\u5b9a\u76ee\u6807\u503c\u5728\u6570\u7ec4\u4e2d\u7684\u5f00\u59cb\u4f4d\u7f6e\u548c\u7ed3\u675f\u4f4d\u7f6e\u3002\u5982\u679c\u4e0d\u5b58\u5728&#xff0c;\u8fd4\u56de [-1, -1]\u3002\u5fc5\u987b\u8bbe\u8ba1\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a O(log n) \u7684\u7b97\u6cd5\u3002<\/p>\n<p>\u89e3\u9898\u601d\u8def&#xff1a;<\/p>\n<ul>\n<li>\n<p>\u66b4\u529b\u89e3\u6cd5 O(n)&#xff0c;\u4ece\u524d\u5f80\u540e\u626b\u63cf&#xff0c;\u5f53\u9047\u89c1\u7b2c\u4e00\u4e2a target \u65f6\u7528\u4e00\u4e2a\u53d8\u91cf\u6807\u8bb0&#xff0c;\u5f53\u9047\u5230\u6700\u540e\u4e00\u4e2a target \u65f6\u518d\u7528\u4e00\u4e2a\u53d8\u91cf\u6807\u8bb0&#xff0c;\u8fd4\u56de\u8fd9\u4e24\u4e2a\u53d8\u91cf\u3002<\/p>\n<\/li>\n<li>\n<p>\u6734\u7d20\u4e8c\u5206&#xff1a;\u6570\u7ec4\u793a\u4f8b&#xff1a;[ 1, 2, 3, 3, 3, 4, 5 ]&#xff0c;\u76ee\u6807\u503c&#xff1a;t &#061; 3&#xff0c;\u867d\u7136mid\u4e00\u5f00\u59cb\u5c31\u547d\u4e2d\u4e863&#xff0c;\u4f46\u662f\u4f60\u662f\u4e0d\u80fd\u786e\u5b9a\u8fd9\u4e2a3\u662f\u8d77\u59cb\u4f4d\u7f6e\u8fd8\u662f\u7ec8\u70b9\u4f4d\u7f6e&#xff0c;\u4e5f\u6709\u53ef\u80fd\u662f\u4e2d\u95f4\u503c&#xff0c;\u5e76\u4e14&#xff0c;\u5982\u679c\u662f\u6781\u7aef\u60c5\u51b5&#xff0c;\u5f53\u6570\u7ec4\u5143\u7d20\u5168\u4e3a3\u65f6&#xff0c;\u4f9d\u7136\u4f1a\u904d\u5386\u6570\u7ec4&#xff0c;\u65f6\u95f4\u590d\u6742\u5ea6\u4f1a\u53d8\u6210O(n)&#xff0c;\u6240\u4ee5&#xff0c;\u6734\u7d20\u4e8c\u5206\u662f\u4e0d\u592a\u5408\u9002\u7684<\/p>\n<\/li>\n<li>\n<p>\u56e0\u6b64\u9700\u8981\u5206\u522b\u5bfb\u627e\u5de6\u8fb9\u754c\u548c\u53f3\u8fb9\u754c\u3002<\/p>\n<\/li>\n<\/ul>\n<p>1. \u67e5\u627e\u533a\u95f4\u5de6\u7aef\u70b9<\/p>\n<p>\u56e0\u4e3a\u8981\u627e\u5de6\u7aef\u70b9&#xff0c;\u6240\u4ee5\u5c06\u533a\u95f4\u5206\u4e3a &lt;t\u3001\u2265t \u4e24\u4e2a\u90e8\u5206 \u21d2\u00a0\u4e8c\u6bb5\u6027<\/p>\n<p>\u6570\u7ec4\u793a\u4f8b&#xff1a;[1,2,3,3,3,4,5]&#xff0c;\u76ee\u6807 t&#061;3 \u5212\u5206&#xff1a;&lt; t\u00a0&#xff5c; \u2265 t \u6307\u9488&#xff1a;left\u3001mid\u3001right<\/p>\n<p>\u903b\u8f91\u5206\u652f&#xff1a;<\/p>\n<ul>\n<li>\n<p>\u2460\u00a0x&lt;t \u21d2 left&#061;mid&#043;1 \u21d2 \u533a\u95f4\u53d8\u4e3a\u65b0\u7684\u00a0[left,right]<\/p>\n<\/li>\n<li>\n<p>\u2461\u00a0x\u2265t \u21d2 right&#061;mid \u21d2 \u533a\u95f4\u53d8\u4e3a\u65b0\u7684\u00a0[left,right]<\/p>\n<\/li>\n<\/ul>\n<p>\u7ec6\u8282\u5904\u7406&#xff1a;<\/p>\n<p>1. \u5faa\u73af\u6761\u4ef6&#xff1a;left &lt; right<\/p>\n<p>2. \u6c42\u4e2d\u70b9\u64cd\u4f5c&#xff1a;left &#043; (right &#8211; left)\u00a0 \/ 2<\/p>\n<p>2. \u67e5\u627e\u533a\u95f4\u53f3\u7aef\u70b9<\/p>\n<p>\u56e0\u4e3a\u8981\u627e\u53f3\u7aef\u70b9&#xff0c;\u6240\u4ee5\u5c06\u533a\u95f4\u5206\u4e3a \u2264t\u3001&gt;t \u4e24\u4e2a\u90e8\u5206 \u21d2\u00a0\u4e8c\u6bb5\u6027<\/p>\n<p>\u6570\u7ec4\u793a\u4f8b&#xff1a;[1,2,3,3,3,4,5]&#xff0c;\u76ee\u6807 t&#061;3 \u5212\u5206&#xff1a;\u2264\u00a0t\u00a0&#xff5c; &gt;\u00a0t \u6307\u9488&#xff1a;left\u3001mid\u3001right<\/p>\n<p>\u903b\u8f91\u5206\u652f&#xff1a;<\/p>\n<ul>\n<li>\n<p>\u2460\u00a0x\u2264t \u21d2 left&#061;mid \u21d2\u533a\u95f4\u53d8\u4e3a\u65b0\u7684\u00a0[left,right]<\/p>\n<\/li>\n<li>\n<p>\u2461\u00a0x&gt;t \u21d2 right&#061;mid&#043;1 \u21d2 \u533a\u95f4\u53d8\u4e3a\u65b0\u7684\u00a0[left,right]<\/p>\n<\/li>\n<\/ul>\n<p>\u7ec6\u8282\u5904\u7406&#xff1a;<\/p>\n<p>1. \u5faa\u73af\u6761\u4ef6&#xff1a;left &lt; right<\/p>\n<p>2. \u6c42\u4e2d\u70b9\u64cd\u4f5c&#xff1a;left &#043; (right &#8211; left &#043; 1)\u00a0 \/ 2<\/p>\n<p>\u4ee3\u7801\u5b9e\u73b0&#xff1a;<\/p>\n<p>class Solution {<br \/>\n\u00a0 \u00a0 \u00a0public int[] searchRange(int[] nums, int target) {<br \/>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0int[] ret &#061; new int[2];<br \/>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0ret[0] &#061; ret[1] &#061; -1;<br \/>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0\/\/ \u5904\u7406\u8fb9\u754c\u60c5\u51b5&#xff01;&#xff01;&#xff01;<br \/>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0if (nums.length &#061;&#061; 0) return ret;<br \/>\n\u00a0\u200b<br \/>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0\/\/ 1. \u67e5\u627e\u5de6\u7aef\u70b9<br \/>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0int left &#061; 0, right &#061; nums.length &#8211; 1;<br \/>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0while (left &lt; right) {<br \/>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0int mid &#061; left &#043; (right &#8211; left) \/ 2;<br \/>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0if (nums[mid] &lt; target) left &#061; mid &#043; 1;<br \/>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0else right &#061; mid;<br \/>\n\u00a0 \u00a0 \u00a0 \u00a0  }<br \/>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0\/\/ \u5224\u65ad\u662f\u5426\u5b58\u5728\u7ed3\u679c&#xff08;\u6b64\u65f6 left &#061;&#061; right&#xff09;<br \/>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0if (nums[left] !&#061; target) return ret;<br \/>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0else ret[0] &#061; left;<br \/>\n\u00a0\u200b<br \/>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0\/\/ 2. \u67e5\u627e\u53f3\u7aef\u70b9<br \/>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0\/\/ \u627e\u5230\u5de6\u7aef\u70b9\u540e&#xff0c;\u5176\u5b9e left \u4e0d\u7528\u518d\u4ece\u5934\u5f00\u59cb\u4e86&#xff0c;\u4e5f\u5c31\u662f left&#061;0 \u8fd9\u53e5\u8bdd\u53ef\u4ee5\u4e0d\u5199<br \/>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0left &#061; 0, right &#061; nums.length &#8211; 1;<br \/>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0while (left &lt; right) {<br \/>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0int mid &#061; left &#043; (right &#8211; left &#043; 1) \/ 2;<br \/>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0if (nums[mid] &lt;&#061; target) left &#061; mid;<br \/>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0else right &#061; mid &#8211; 1;<br \/>\n\u00a0 \u00a0 \u00a0 \u00a0  }<br \/>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0ret[1] &#061; left;<br \/>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0return ret;<br \/>\n\u00a0 \u00a0  }<br \/>\n\u00a0} <\/p>\n<h3>\u603b\u7ed3<\/h3>\n<p>\u6734\u7d20\u4e8c\u5206&#xff1a;while (left &lt;&#061; right)&#xff0c;mid \u9632\u6ea2\u51fa&#xff0c;\u65e0\u8111\u52a0\u52a0\u51cf\u51cf<\/p>\n<p>\u5de6\u53f3\u8fb9\u754c&#xff1a;while (left &lt; right)\u3002\u8c01\u201c\u51cf1\u201d&#xff0c;\u4e2d\u70b9\u5c31\u201c\u52a01\u201d<\/p>\n<p>\u5206\u7c7b\u8ba8\u8bba\u7684\u4ee3\u7801&#xff0c;\u5c31\u9898\u8bba\u9898\u5373\u53ef&#xff0c;\u5173\u952e\u5728\u4e8e\u7406\u89e3\u8fb9\u754c\u6536\u7f29\u7684\u903b\u8f91<\/p>\n<p>\u8fb9\u754c\u60c5\u51b5\u5904\u7406&#xff1a;\u5728\u505a\u5de6\u53f3\u8fb9\u754c\u67e5\u627e\u65f6&#xff0c;\u52a1\u5fc5\u5148\u5904\u7406\u6570\u7ec4\u4e3a\u7a7a\u3001\u76ee\u6807\u503c\u5168\u5c0f\u4e8e\u6570\u7ec4\u3001\u76ee\u6807\u503c\u5168\u5927\u4e8e\u6570\u7ec4\u7b49\u8fb9\u754c\u60c5\u51b5<\/p>\n<h2>2. \u4e60\u9898<\/h2>\n<h3>\u4e8c\u5206\u67e5\u627e<\/h3>\n<p>704.\u4e8c\u5206\u67e5\u627e<\/p>\n<h3>\u5728\u6392\u5e8f\u6570\u7ec4\u4e2d\u67e5\u627e\u5143\u7d20\u7684\u7b2c\u4e00\u4e2a\u548c\u6700\u540e\u4e00\u4e2a\u4f4d\u7f6e<\/h3>\n<p>34.\u5728\u6392\u5e8f\u6570\u7ec4\u4e2d\u67e5\u627e\u5143\u7d20\u7684\u7b2c\u4e00\u4e2a\u548c\u6700\u540e\u4e00\u4e2a\u4f4d\u7f6e<\/p>\n<h3>x\u7684\u5e73\u65b9\u6839<\/h3>\n<p>69. x \u7684\u5e73\u65b9\u6839 &#8211; 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