{"id":61976,"date":"2026-01-18T23:49:44","date_gmt":"2026-01-18T15:49:44","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/61976.html"},"modified":"2026-01-18T23:49:44","modified_gmt":"2026-01-18T15:49:44","slug":"%e4%ba%8c%e5%88%86%e6%9f%a5%e6%89%be-%e7%ae%97%e6%b3%95%e6%80%bb%e7%bb%93%e4%b8%8e%e6%95%99%e5%ad%a6%e6%8c%87%e5%8d%97","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/61976.html","title":{"rendered":"\u4e8c\u5206\u67e5\u627e\u2014\u2014\u7b97\u6cd5\u603b\u7ed3\u4e0e\u6559\u5b66\u6307\u5357"},"content":{"rendered":"<h3>&#x1f4da; \u7b97\u6cd5\u6838\u5fc3\u601d\u60f3<\/h3>\n<h4>\u4e8c\u5206\u67e5\u627e\u7684\u672c\u8d28<\/h4>\n<ul>\n<li>\u5728\u6709\u5e8f\u96c6\u5408\u4e2d\u901a\u8fc7\u4e0d\u65ad\u6298\u534a\u7f29\u5c0f\u641c\u7d22\u8303\u56f4<\/li>\n<li>\u6bcf\u6b21\u6bd4\u8f83\u90fd\u80fd\u6392\u9664\u4e00\u534a\u7684\u9519\u8bef\u7b54\u6848<\/li>\n<li>\u6838\u5fc3\u524d\u63d0&#xff1a;\u6570\u636e\u5fc5\u987b\u6709\u5e8f&#xff08;\u76f4\u63a5\u6216\u95f4\u63a5&#xff09;<\/li>\n<\/ul>\n<h4>\u4e09\u79cd\u4e8c\u5206\u67e5\u627e\u6a21\u5f0f<\/h4>\n<table>\n<tr>\u6a21\u5f0f\u7279\u70b9\u9002\u7528\u573a\u666f\u5173\u952e\u5224\u65ad<\/tr>\n<tbody>\n<tr>\n<td>\u6807\u51c6\u4e8c\u5206<\/td>\n<td>\u67e5\u627e\u786e\u5207\u5b58\u5728\u7684\u503c<\/td>\n<td>\u6709\u5e8f\u6570\u7ec4\u67e5\u627e<\/td>\n<td>nums[mid] &#061;&#061; target<\/td>\n<\/tr>\n<tr>\n<td>\u5bfb\u627e\u8fb9\u754c<\/td>\n<td>\u67e5\u627e\u7b2c\u4e00\u4e2a\/\u6700\u540e\u4e00\u4e2a\u4f4d\u7f6e<\/td>\n<td>\u91cd\u590d\u5143\u7d20\u3001\u63d2\u5165\u4f4d\u7f6e<\/td>\n<td>\u6761\u4ef6\u53d8\u5316\u65f6\u7684\u8fb9\u754c\u5904\u7406<\/td>\n<\/tr>\n<tr>\n<td>\u62bd\u8c61\u4e8c\u5206<\/td>\n<td>\u5728\u62bd\u8c61\u6761\u4ef6\u4e0a\u4e8c\u5206<\/td>\n<td>\u7b54\u6848\u6709\u5355\u8c03\u6027\u3001\u6700\u4f18\u5316\u95ee\u9898<\/td>\n<td>\u5b9a\u4e49\u5224\u5b9a\u51fd\u6570<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3>&#x1f527; \u901a\u7528\u89e3\u9898\u6846\u67b6<\/h3>\n<h4>\u57fa\u7840\u4e8c\u5206\u67e5\u627e\u6a21\u677f<\/h4>\n<p><span class=\"token keyword\">int<\/span> <span class=\"token function\">binarySearch<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> nums<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> target<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> left <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> right <span class=\"token operator\">&#061;<\/span> nums<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;&#061;<\/span> right<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> mid <span class=\"token operator\">&#061;<\/span> left <span class=\"token operator\">&#043;<\/span> <span class=\"token punctuation\">(<\/span>right <span class=\"token operator\">&#8211;<\/span> left<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/ \u9632\u6b62\u6ea2\u51fa<\/span><\/p>\n<p>        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>nums<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> target<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">return<\/span> mid<span class=\"token punctuation\">;<\/span>                       <span class=\"token comment\">\/\/ \u627e\u5230\u76ee\u6807<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span> <span class=\"token keyword\">else<\/span> <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>nums<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> target<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            left <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>                   <span class=\"token comment\">\/\/ \u641c\u7d22\u53f3\u534a\u90e8\u5206<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span> <span class=\"token keyword\">else<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            right <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>                  <span class=\"token comment\">\/\/ \u641c\u7d22\u5de6\u534a\u90e8\u5206<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>    <span class=\"token keyword\">return<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/ \u672a\u627e\u5230<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<h4>\u5bfb\u627e\u8fb9\u754c\u7684\u4e8c\u5206\u6a21\u677f<\/h4>\n<p><span class=\"token comment\">\/\/ \u5bfb\u627e\u7b2c\u4e00\u4e2a &gt;&#061; target \u7684\u4f4d\u7f6e&#xff08;lower_bound&#xff09;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">findFirstGreaterOrEqual<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> nums<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> target<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> left <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> right <span class=\"token operator\">&#061;<\/span> nums<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/ \u6ce8\u610f&#xff1a;\u53f3\u5f00\u533a\u95f4<\/span><\/p>\n<p>    <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;<\/span> right<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> mid <span class=\"token operator\">&#061;<\/span> left <span class=\"token operator\">&#043;<\/span> <span class=\"token punctuation\">(<\/span>right <span class=\"token operator\">&#8211;<\/span> left<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>nums<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;&#061;<\/span> target<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            right <span class=\"token operator\">&#061;<\/span> mid<span class=\"token punctuation\">;<\/span>                <span class=\"token comment\">\/\/ \u4fdd\u7559mid&#xff0c;\u7ee7\u7eed\u5411\u5de6\u627e<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span> <span class=\"token keyword\">else<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            left <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>             <span class=\"token comment\">\/\/ \u5411\u53f3\u627e<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>    <span class=\"token keyword\">return<\/span> left<span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/ \u7b2c\u4e00\u4e2a &gt;&#061; target \u7684\u4f4d\u7f6e<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<h3>&#x1f3af; \u95ee\u9898\u8bc6\u522b\u6280\u5de7<\/h3>\n<h4>\u4ec0\u4e48\u65f6\u5019\u7528\u4e8c\u5206\u67e5\u627e&#xff1f;<\/h4>\n<li>\u660e\u663e\u5173\u952e\u8bcd&#xff1a;\u6709\u5e8f\u3001\u6392\u5e8f\u3001\u641c\u7d22\u3001\u67e5\u627e<\/li>\n<li>\u6570\u636e\u89c4\u6a21\u5927&#xff1a;O(n) \u4f1a\u8d85\u65f6&#xff0c;\u9700\u8981 O(log n)<\/li>\n<li>\u7b54\u6848\u5355\u8c03\u6027&#xff1a;\u6761\u4ef6\u6ee1\u8db3\u6027\u968f\u53c2\u6570\u5355\u8c03\u53d8\u5316<\/li>\n<h4>\u5224\u65ad\u4f9d\u636e<\/h4>\n<p><span class=\"token comment\">\/\/ \u5982\u679c\u662f\u8fd9\u4e9b\u95ee\u9898&#xff0c;\u8003\u8651\u4e8c\u5206\u67e5\u627e&#xff1a;<\/span><br \/>\n<span class=\"token operator\">&#8211;<\/span> <span class=\"token string\">&#034;\u5728\u6392\u5e8f\u6570\u7ec4\u4e2d\u67e5\u627e\u5143\u7d20\u7684\u7b2c\u4e00\u4e2a\u548c\u6700\u540e\u4e00\u4e2a\u4f4d\u7f6e&#034;<\/span><br \/>\n<span class=\"token operator\">&#8211;<\/span> <span class=\"token string\">&#034;\u5bfb\u627e\u65cb\u8f6c\u6392\u5e8f\u6570\u7ec4\u4e2d\u7684\u6700\u5c0f\u503c&#034;<\/span><br \/>\n<span class=\"token operator\">&#8211;<\/span> <span class=\"token string\">&#034;\u5728 D \u5929\u5185\u9001\u8fbe\u5305\u88f9\u7684\u80fd\u529b&#034;<\/span>&#xff08;\u6700\u4f18\u5316\u95ee\u9898&#xff09;<br \/>\n<span class=\"token operator\">&#8211;<\/span> <span class=\"token string\">&#034;\u5236\u4f5c m \u675f\u82b1\u6240\u9700\u7684\u6700\u5c11\u5929\u6570&#034;<\/span><br \/>\n<span class=\"token operator\">&#8211;<\/span> <span class=\"token string\">&#034;\u5206\u5272\u6570\u7ec4\u7684\u6700\u5927\u503c&#034;<\/span><\/p>\n<h3>&#x1f50d; \u5173\u952e\u51b3\u7b56\u70b9<\/h3>\n<h4>1. \u5982\u4f55\u9009\u62e9\u533a\u95f4\u8868\u793a&#xff1f;<\/h4>\n<ul>\n<li>\u5de6\u95ed\u53f3\u95ed [left, right]&#xff1a;while(left &lt;&#061; right)&#xff0c;\u66f4\u65b0\u65f6 mid\u00b11<\/li>\n<li>\u5de6\u95ed\u53f3\u5f00 [left, right)&#xff1a;while(left &lt; right)&#xff0c;\u66f4\u65b0\u65f6 left&#061;mid&#043;1 \u6216 right&#061;mid<\/li>\n<\/ul>\n<h4>2. \u5982\u4f55\u5224\u65ad\u641c\u7d22\u65b9\u5411&#xff1f;<\/h4>\n<p><span class=\"token comment\">\/\/ \u4e0d\u540c\u95ee\u9898\u7684\u5224\u65ad\u6761\u4ef6<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>nums<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> target<span class=\"token punctuation\">)<\/span>        <span class=\"token comment\">\/\/ \u6807\u51c6\u67e5\u627e<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>nums<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;&#061;<\/span> target<span class=\"token punctuation\">)<\/span>        <span class=\"token comment\">\/\/ \u5bfb\u627e\u5de6\u8fb9\u754c<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>nums<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> target<span class=\"token punctuation\">)<\/span>         <span class=\"token comment\">\/\/ \u5bfb\u627e\u53f3\u8fb9\u754c<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token function\">canFinish<\/span><span class=\"token punctuation\">(<\/span>piles<span class=\"token punctuation\">,<\/span> mid<span class=\"token punctuation\">,<\/span> h<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span>   <span class=\"token comment\">\/\/ \u6700\u4f18\u5316\u95ee\u9898&#xff08;\u62bd\u8c61\u6761\u4ef6&#xff09;<\/span><\/p>\n<h4>3. \u5982\u4f55\u907f\u514d\u6b7b\u5faa\u73af&#xff1f;<\/h4>\n<ul>\n<li>\u786e\u4fdd\u6bcf\u6b21\u5faa\u73af\u533a\u95f4\u90fd\u5728\u7f29\u5c0f<\/li>\n<li>\u6ce8\u610f mid \u7684\u8ba1\u7b97\u65b9\u5f0f&#xff1a;mid &#061; left &#043; (right-left)\/2&#xff08;\u5411\u4e0b\u53d6\u6574&#xff09;<\/li>\n<li>\u66f4\u65b0\u8fb9\u754c\u65f6\u81f3\u5c11\u79fb\u52a8\u4e00\u6b65&#xff1a;left &#061; mid&#043;1 \u6216 right &#061; mid-1<\/li>\n<\/ul>\n<h3>&#x1f4a1; \u7ecf\u5178\u95ee\u9898\u5206\u7c7b\u4e0e\u89e3\u6cd5<\/h3>\n<h4>\u7c7b\u578b1&#xff1a;\u7cbe\u786e\u67e5\u627e<\/h4>\n<p><span class=\"token comment\">\/\/ \u95ee\u9898&#xff1a;\u5728\u6392\u5e8f\u6570\u7ec4\u4e2d\u67e5\u627e\u76ee\u6807\u503c<\/span><br \/>\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">search<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> nums<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> target<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> left <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> right <span class=\"token operator\">&#061;<\/span> nums<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;&#061;<\/span> right<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> mid <span class=\"token operator\">&#061;<\/span> left <span class=\"token operator\">&#043;<\/span> <span class=\"token punctuation\">(<\/span>right <span class=\"token operator\">&#8211;<\/span> left<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>nums<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> target<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span> mid<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">else<\/span> <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>nums<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> target<span class=\"token punctuation\">)<\/span> left <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">else<\/span> right <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>    <span class=\"token keyword\">return<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<h4>\u7c7b\u578b2&#xff1a;\u5bfb\u627e\u8fb9\u754c<\/h4>\n<p><span class=\"token comment\">\/\/ \u95ee\u9898&#xff1a;\u5728\u6392\u5e8f\u6570\u7ec4\u4e2d\u67e5\u627e\u5143\u7d20\u7684\u7b2c\u4e00\u4e2a\u548c\u6700\u540e\u4e00\u4e2a\u4f4d\u7f6e<\/span><br \/>\nvector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span> <span class=\"token function\">searchRange<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> nums<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> target<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token comment\">\/\/ \u627e\u5de6\u8fb9\u754c&#xff1a;\u7b2c\u4e00\u4e2a &gt;&#061; target \u7684\u4f4d\u7f6e<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> left <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">lower_bound<\/span><span class=\"token punctuation\">(<\/span>nums<span class=\"token punctuation\">.<\/span><span class=\"token function\">begin<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> nums<span class=\"token punctuation\">.<\/span><span class=\"token function\">end<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> target<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span> nums<span class=\"token punctuation\">.<\/span><span class=\"token function\">begin<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token comment\">\/\/ \u627e\u53f3\u8fb9\u754c&#xff1a;\u7b2c\u4e00\u4e2a &gt; target \u7684\u4f4d\u7f6e &#8211; 1<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> right <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">upper_bound<\/span><span class=\"token punctuation\">(<\/span>nums<span class=\"token punctuation\">.<\/span><span class=\"token function\">begin<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> nums<span class=\"token punctuation\">.<\/span><span class=\"token function\">end<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> target<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span> nums<span class=\"token punctuation\">.<\/span><span class=\"token function\">begin<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;&#061;<\/span> right<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token punctuation\">{<\/span>left<span class=\"token punctuation\">,<\/span> right<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<h4>\u7c7b\u578b3&#xff1a;\u65cb\u8f6c\u6570\u7ec4\u67e5\u627e<\/h4>\n<p><span class=\"token comment\">\/\/ \u95ee\u9898&#xff1a;\u641c\u7d22\u65cb\u8f6c\u6392\u5e8f\u6570\u7ec4<\/span><br \/>\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">searchRotated<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> nums<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> target<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> left <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> right <span class=\"token operator\">&#061;<\/span> nums<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;&#061;<\/span> right<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> mid <span class=\"token operator\">&#061;<\/span> left <span class=\"token operator\">&#043;<\/span> <span class=\"token punctuation\">(<\/span>right <span class=\"token operator\">&#8211;<\/span> left<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>nums<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> target<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span> mid<span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ \u5224\u65ad\u54ea\u4e00\u90e8\u5206\u662f\u6709\u5e8f\u7684<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>nums<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;&#061;<\/span> nums<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>  <span class=\"token comment\">\/\/ \u5de6\u534a\u90e8\u5206\u6709\u5e8f<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>nums<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;&#061;<\/span> target <span class=\"token operator\">&amp;&amp;<\/span> target <span class=\"token operator\">&lt;<\/span> nums<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n                right <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/ \u76ee\u6807\u5728\u6709\u5e8f\u7684\u5de6\u534a\u90e8\u5206<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span> <span class=\"token keyword\">else<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n                left <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>   <span class=\"token comment\">\/\/ \u76ee\u6807\u5728\u53f3\u534a\u90e8\u5206<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span> <span class=\"token keyword\">else<\/span> <span class=\"token punctuation\">{<\/span>  <span class=\"token comment\">\/\/ \u53f3\u534a\u90e8\u5206\u6709\u5e8f<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>nums<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> target <span class=\"token operator\">&amp;&amp;<\/span> target <span class=\"token operator\">&lt;&#061;<\/span> nums<span class=\"token punctuation\">[<\/span>right<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n                left <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>   <span class=\"token comment\">\/\/ \u76ee\u6807\u5728\u6709\u5e8f\u7684\u53f3\u534a\u90e8\u5206<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span> <span class=\"token keyword\">else<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n                right <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/ \u76ee\u6807\u5728\u5de6\u534a\u90e8\u5206<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>    <span class=\"token keyword\">return<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<h4>\u7c7b\u578b4&#xff1a;\u6700\u4f18\u5316\u95ee\u9898&#xff08;\u62bd\u8c61\u4e8c\u5206&#xff09;<\/h4>\n<p><span class=\"token comment\">\/\/ \u95ee\u9898&#xff1a;\u5728 D \u5929\u5185\u9001\u8fbe\u5305\u88f9\u7684\u80fd\u529b<\/span><br \/>\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">shipWithinDays<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> weights<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> days<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token comment\">\/\/ \u786e\u5b9a\u4e8c\u5206\u641c\u7d22\u8fb9\u754c<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> left <span class=\"token operator\">&#061;<\/span> <span class=\"token operator\">*<\/span><span class=\"token function\">max_element<\/span><span class=\"token punctuation\">(<\/span>weights<span class=\"token punctuation\">.<\/span><span class=\"token function\">begin<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> weights<span class=\"token punctuation\">.<\/span><span class=\"token function\">end<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/ \u6700\u5c0f\u80fd\u529b<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> right <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">accumulate<\/span><span class=\"token punctuation\">(<\/span>weights<span class=\"token punctuation\">.<\/span><span class=\"token function\">begin<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> weights<span class=\"token punctuation\">.<\/span><span class=\"token function\">end<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u6700\u5927\u80fd\u529b<\/span><\/p>\n<p>    <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;<\/span> right<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> mid <span class=\"token operator\">&#061;<\/span> left <span class=\"token operator\">&#043;<\/span> <span class=\"token punctuation\">(<\/span>right <span class=\"token operator\">&#8211;<\/span> left<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token function\">canShip<\/span><span class=\"token punctuation\">(<\/span>weights<span class=\"token punctuation\">,<\/span> days<span class=\"token punctuation\">,<\/span> mid<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            right <span class=\"token operator\">&#061;<\/span> mid<span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/ \u5c1d\u8bd5\u66f4\u5c0f\u7684\u80fd\u529b<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span> <span class=\"token keyword\">else<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            left <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/ \u9700\u8981\u66f4\u5927\u7684\u80fd\u529b<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>    <span class=\"token keyword\">return<\/span> left<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">bool<\/span> <span class=\"token function\">canShip<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> weights<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> days<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> capacity<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> current <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> needed <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> weight <span class=\"token operator\">:<\/span> weights<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>current <span class=\"token operator\">&#043;<\/span> weight <span class=\"token operator\">&gt;<\/span> capacity<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            needed<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            current <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        current <span class=\"token operator\">&#043;&#061;<\/span> weight<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>    <span class=\"token keyword\">return<\/span> needed <span class=\"token operator\">&lt;&#061;<\/span> days<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<h3>&#x1f680; \u6559\u5b66\u8981\u70b9<\/h3>\n<h4>\u7ed9\u521d\u5b66\u8005\u7684\u5efa\u8bae<\/h4>\n<li>\n<p>\u4ece\u7406\u89e3\u539f\u7406\u5f00\u59cb<\/p>\n<p>\u4e8c\u5206\u67e5\u627e\u4e3a\u4ec0\u4e48\u662f O(log n)&#xff1f;<br \/>\n\u6bcf\u6b21\u6bd4\u8f83\u6392\u9664\u4e00\u534a\u5143\u7d20 \u2192 \u6700\u591a log\u2082n \u6b21<\/p>\n<\/li>\n<li>\n<p>\u638c\u63e1\u4e24\u79cd\u6a21\u677f<\/p>\n<ul>\n<li>\u6a21\u677f1&#xff1a;\u7cbe\u786e\u67e5\u627e&#xff08;\u95ed\u533a\u95f4&#xff09;<\/li>\n<li>\u6a21\u677f2&#xff1a;\u8fb9\u754c\u67e5\u627e&#xff08;\u5de6\u95ed\u53f3\u5f00&#xff09;<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u624b\u52a8\u6a21\u62df\u8fc7\u7a0b<\/p>\n<p>\u6570\u7ec4&#xff1a;<span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">7<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">9<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">11<\/span><span class=\"token punctuation\">]<\/span><br \/>\n\u67e5\u627e&#xff1a;<span class=\"token number\">7<\/span><\/p>\n<p>\u6b65\u9aa4<span class=\"token number\">1<\/span>&#xff1a;left<span class=\"token operator\">&#061;<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> right<span class=\"token operator\">&#061;<\/span><span class=\"token number\">5<\/span><span class=\"token punctuation\">,<\/span> mid<span class=\"token operator\">&#061;<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> nums<span class=\"token punctuation\">[<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">]<\/span><span class=\"token operator\">&#061;<\/span><span class=\"token number\">5<\/span> <span class=\"token operator\">&lt;<\/span> <span class=\"token number\">7<\/span> \u2192 left<span class=\"token operator\">&#061;<\/span><span class=\"token number\">3<\/span><br \/>\n\u6b65\u9aa4<span class=\"token number\">2<\/span>&#xff1a;left<span class=\"token operator\">&#061;<\/span><span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> right<span class=\"token operator\">&#061;<\/span><span class=\"token number\">5<\/span><span class=\"token punctuation\">,<\/span> mid<span class=\"token operator\">&#061;<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span> nums<span class=\"token punctuation\">[<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">]<\/span><span class=\"token operator\">&#061;<\/span><span class=\"token number\">9<\/span> <span class=\"token operator\">&gt;<\/span> <span class=\"token number\">7<\/span> \u2192 right<span class=\"token operator\">&#061;<\/span><span class=\"token number\">3<\/span><br \/>\n\u6b65\u9aa4<span class=\"token number\">3<\/span>&#xff1a;left<span class=\"token operator\">&#061;<\/span><span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> right<span class=\"token operator\">&#061;<\/span><span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> mid<span class=\"token operator\">&#061;<\/span><span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> nums<span class=\"token punctuation\">[<\/span><span class=\"token number\">3<\/span><span class=\"token punctuation\">]<\/span><span class=\"token operator\">&#061;<\/span><span class=\"token number\">7<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">7<\/span> \u2192 \u627e\u5230<\/p>\n<\/li>\n<li>\n<p>\u6ce8\u610f\u5e38\u89c1\u9677\u9631<\/p>\n<ul>\n<li>\u6574\u6570\u6ea2\u51fa&#xff1a;\u4f7f\u7528 mid &#061; left &#043; (right-left)\/2<\/li>\n<li>\u6b7b\u5faa\u73af&#xff1a;\u786e\u4fdd\u6bcf\u6b21\u5faa\u73af\u8fb9\u754c\u90fd\u5728\u53d8\u5316<\/li>\n<li>\u8fb9\u754c\u6761\u4ef6&#xff1a;\u7a7a\u6570\u7ec4\u3001\u5355\u4e2a\u5143\u7d20\u3001\u76ee\u6807\u4e0d\u5b58\u5728<\/li>\n<\/ul>\n<\/li>\n<h4>\u4e8c\u5206\u67e5\u627e\u7684\u601d\u7ef4\u8f6c\u6362<\/h4>\n<li>\n<p>\u4ece&#034;\u627e\u7b54\u6848&#034;\u5230&#034;\u731c\u7b54\u6848&#043;\u9a8c\u8bc1&#034;<\/p>\n<p>\u4f20\u7edf&#xff1a;\u76f4\u63a5\u627e\u5230\u6b63\u786e\u7b54\u6848<br \/>\n\u4e8c\u5206&#xff1a;\u731c\u4e00\u4e2a\u7b54\u6848 \u2192 \u9a8c\u8bc1\u662f\u5426\u6b63\u786e \u2192 \u8c03\u6574\u731c\u6d4b<\/p>\n<\/li>\n<li>\n<p>\u5224\u5b9a\u51fd\u6570\u7684\u7f16\u5199<\/p>\n<p><span class=\"token comment\">\/\/ \u6700\u4f18\u5316\u95ee\u9898\u7684\u5173\u952e&#xff1a;\u7f16\u5199\u5224\u5b9a\u51fd\u6570<\/span><br \/>\n<span class=\"token keyword\">bool<\/span> <span class=\"token function\">isValid<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> guess<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token comment\">\/\/ \u5224\u65ad guess \u662f\u5426\u6ee1\u8db3\u6761\u4ef6<\/span><br \/>\n    <span class=\"token comment\">\/\/ \u901a\u5e38\u9700\u8981 O(n) \u6216 O(m) \u7684\u9a8c\u8bc1<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<\/li>\n<h4>\u7ec3\u4e60\u9898\u8fdb\u9636\u8def\u5f84<\/h4>\n<p>Level 1: \u57fa\u7840\u4e8c\u5206\u67e5\u627e&#xff08;704\u9898&#xff09;<br \/>\nLevel 2: \u5bfb\u627e\u8fb9\u754c&#xff08;34\u9898&#xff09;<br \/>\nLevel 3: \u65cb\u8f6c\u6570\u7ec4\u641c\u7d22&#xff08;33\u300181\u9898&#xff09;<br \/>\nLevel 4: \u62bd\u8c61\u4e8c\u5206\u67e5\u627e&#xff08;875\u30011011\u9898&#xff09;<br \/>\nLevel 5: \u4e8c\u7ef4\u4e8c\u5206\u67e5\u627e&#xff08;74\u3001240\u9898&#xff09;<br \/>\nLevel 6: 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punctuation\">(<\/span>left <span class=\"token operator\">&lt;&#061;<\/span> right<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> mid <span class=\"token operator\">&#061;<\/span> left <span class=\"token operator\">&#043;<\/span> <span class=\"token punctuation\">(<\/span>right <span class=\"token operator\">&#8211;<\/span> left<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    cout <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token string\">&#034;left&#061;&#034;<\/span> <span class=\"token operator\">&lt;&lt;<\/span> left <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token string\">&#034;, right&#061;&#034;<\/span> <span class=\"token operator\">&lt;&lt;<\/span> right<br \/>\n         <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token string\">&#034;, mid&#061;&#034;<\/span> <span class=\"token operator\">&lt;&lt;<\/span> mid <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token string\">&#034;, nums[mid]&#061;&#034;<\/span> <span class=\"token operator\">&lt;&lt;<\/span> nums<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;&lt;<\/span> endl<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token comment\">\/\/ &#8230;<\/span><br \/>\n<span class=\"token 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