{"id":104006,"date":"2026-09-11T16:41:14","date_gmt":"2026-09-11T08:41:14","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/104006.html"},"modified":"2026-09-11T16:41:14","modified_gmt":"2026-09-11T08:41:14","slug":"%e4%b8%80%e5%a4%a9%e4%b8%80%e9%81%93%e7%ae%97%e6%b3%95%e9%a2%98%ef%bc%8832%ef%bc%89%ef%bc%9a%e6%90%9c%e7%b4%a2%e4%ba%8c%e7%bb%b4%e6%95%b0%e7%bb%84","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/104006.html","title":{"rendered":"\u4e00\u5929\u4e00\u9053\u7b97\u6cd5\u9898\uff0832\uff09\uff1a\u641c\u7d22\u4e8c\u7ef4\u6570\u7ec4"},"content":{"rendered":"<h2>74. \u641c\u7d22\u4e8c\u7ef4\u77e9\u9635<\/h2>\n<\/p>\n<h4>\u6587\u7ae0\u76ee\u5f55<\/h4>\n<ul>\n<li>[74. \u641c\u7d22\u4e8c\u7ef4\u77e9\u9635](https:\/\/leetcode.cn\/problems\/search-a-2d-matrix\/)<\/li>\n<li>\n<ul>\n<li>&#061;&#061;\u56db\u79cd\u89e3\u9898\u601d\u8def&#061;&#061;<\/li>\n<li>\n<ul>\n<li>\u7b2c\u4e00\u79cd&#xff1a;\u66b4\u529b\u679a\u4e3e&#xff08;O(m\u00b7n)&#xff09;<\/li>\n<li>\u7b2c\u4e8c\u79cd&#xff1a;\u9010\u884c\u4e8c\u5206&#xff08;O(m\u00b7log n)&#xff09;<\/li>\n<li>\u7b2c\u4e09\u79cd&#xff1a;\u4e24\u6b21\u4e8c\u5206&#xff08;O(log m &#043; log n) &#061; O(log(m\u00b7n))&#xff09;<\/li>\n<li>\u7b2c\u56db\u79cd&#xff1a;\u6a21\u62df\u4e00\u7ef4\u6570\u7ec4<\/li>\n<\/ul>\n<\/li>\n<li>\u603b\u7ed3<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p> \u7ed9\u4f60\u4e00\u4e2a\u6ee1\u8db3\u4e0b\u8ff0\u4e24\u6761\u5c5e\u6027\u7684<br \/>\nm x n \u6574\u6570\u77e9\u9635&#xff1a;<\/p>\n<ul>\n<li>\u6bcf\u884c\u4e2d\u7684\u6574\u6570\u4ece\u5de6\u5230\u53f3\u6309\u975e\u4e25\u683c\u9012\u589e\u987a\u5e8f\u6392\u5217\u3002<\/li>\n<li>\u6bcf\u884c\u7684\u7b2c\u4e00\u4e2a\u6574\u6570\u5927\u4e8e\u524d\u4e00\u884c\u7684\u6700\u540e\u4e00\u4e2a\u6574\u6570\u3002<\/li>\n<\/ul>\n<p>\u7ed9\u4f60\u4e00\u4e2a\u6574\u6570 target &#xff0c;\u5982\u679c target \u5728\u77e9\u9635\u4e2d&#xff0c;\u8fd4\u56de true &#xff1b;\u5426\u5219&#xff0c;\u8fd4\u56de false \u3002<\/p>\n<p>\u4f60\u5fc5\u987b\u7f16\u5199\u4e00\u4e2a\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a O(log(m * n)) \u7684\u89e3\u51b3\u65b9\u6848\u3002<\/p>\n<p>\u793a\u4f8b 1&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260911084113-6aa3bea9bbe67.jpg\" alt=\"img\" \/><\/p>\n<p>\u8f93\u5165&#xff1a;matrix &#061; [[1,3,5,7],[10,11,16,20],[23,30,34,60]], target &#061; 3<br \/>\n\u8f93\u51fa&#xff1a;true<\/p>\n<p>\u793a\u4f8b 2&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260911084113-6aa3bea9d541f.jpg\" alt=\"img\" \/><\/p>\n<p>\u8f93\u5165&#xff1a;matrix &#061; [[1,3,5,7],[10,11,16,20],[23,30,34,60]], target &#061; 13<br \/>\n\u8f93\u51fa&#xff1a;false<\/p>\n<h3>\u56db\u79cd\u89e3\u9898\u601d\u8def<\/h3>\n<p>\u63a5\u4e0b\u6765\u6211\u4f1a\u5e26\u7740\u4f60&#xff0c;\u4ece O(m\u00b7n) \u4e00\u6b65\u6b65\u4f18\u5316\u5230 O(log(m\u00b7n))\u3002<\/p>\n<h4>\u7b2c\u4e00\u79cd&#xff1a;\u66b4\u529b\u679a\u4e3e&#xff08;O(m\u00b7n)&#xff09;<\/h4>\n<p>\u5d4c\u5957 for \u5faa\u73af\u9010\u4e2a\u5224\u65ad&#xff0c;\u90fd\u6ca1\u5339\u914d\u5c31\u8fd4\u56de false\u3002\u8fd9\u79cd\u505a\u6cd5\u4e00\u5b9a\u4f1a\u8d85\u65f6&#xff0c;\u4e5f\u4e0d\u7b26\u5408\u9898\u76ee\u8981\u6c42&#xff0c;\u8fd9\u91cc\u4e0d\u5c55\u5f00\u3002<\/p>\n<h4>\u7b2c\u4e8c\u79cd&#xff1a;\u9010\u884c\u4e8c\u5206&#xff08;O(m\u00b7log n)&#xff09;<\/h4>\n<p>\u5bf9\u6bcf\u4e00\u884c\u5404\u505a\u4e00\u6b21\u4e8c\u5206\u67e5\u627e\u3002\u8fd9\u662f\u6700\u5e38\u89c1\u7684\u4f18\u5316\u601d\u8def&#xff0c;\u4f46\u5b83\u9002\u7528\u4e8e\u201c\u884c\u4e0e\u884c\u4e4b\u95f4\u6574\u4f53\u4e0d\u4fdd\u8bc1\u4e25\u683c\u9012\u589e\u201d\u7684\u60c5\u51b5\u2014\u2014\u6bd4\u5982\u4e0b\u4e00\u884c\u7b2c\u4e00\u4e2a\u5143\u7d20\u4e0d\u4e00\u5b9a\u5927\u4e8e\u4e0a\u4e00\u884c\u6700\u540e\u4e00\u4e2a\u5143\u7d20\u3002\u800c\u8fd9\u9053\u9898\u7684\u4e8c\u7ef4\u6570\u7ec4\u6574\u4f53\u662f\u4e25\u683c\u5347\u5e8f\u7684&#xff0c;\u6240\u4ee5\u8fd9\u4e2a\u505a\u6cd5\u8fd8\u4e0d\u591f&#xff0c;\u9700\u8981\u7ee7\u7eed\u4f18\u5316\u3002<\/p>\n<h4>\u7b2c\u4e09\u79cd&#xff1a;\u4e24\u6b21\u4e8c\u5206&#xff08;O(log m &#043; log n) &#061; O(log(m\u00b7n))&#xff09;<\/h4>\n<p>\u4ece\u8fd9\u91cc\u5f00\u59cb&#xff0c;\u624d\u662f\u8fd9\u9053\u9898\u80fd AC \u7684\u89e3\u6cd5\u3002<\/p>\n<p>\u601d\u8def\u662f&#xff1a;\u7b2c\u4e00\u6b21\u4e8c\u5206\u786e\u5b9a target \u5982\u679c\u5b58\u5728&#xff0c;\u5e94\u8be5\u5728\u54ea\u4e00\u884c&#xff1b;\u7b2c\u4e8c\u6b21\u4e8c\u5206\u5728\u8fd9\u4e00\u884c\u91cc\u7ee7\u7eed\u627e\u3002\u4e24\u6b21\u4e8c\u5206\u5c31\u80fd\u5b9a\u4f4d\u5230 target\u3002<\/p>\n<ul>\n<li>Java \u4ee3\u7801\u6f14\u793a<\/li>\n<\/ul>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">public<\/span> <span class=\"token keyword\">boolean<\/span> <span class=\"token function\">searchMatrix<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> matrix<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> rowIndex <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">binarySearchFirstColumn<\/span><span class=\"token punctuation\">(<\/span>matrix<span class=\"token punctuation\">,<\/span> target<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>rowIndex <span class=\"token operator\">&lt;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">false<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> <span class=\"token function\">binarySearchRow<\/span><span class=\"token punctuation\">(<\/span>matrix<span class=\"token punctuation\">[<\/span>rowIndex<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> target<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>    <span class=\"token keyword\">public<\/span> <span class=\"token keyword\">int<\/span> <span class=\"token function\">binarySearchFirstColumn<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> matrix<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> low <span class=\"token operator\">&#061;<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> high <span class=\"token operator\">&#061;<\/span> matrix<span class=\"token punctuation\">.<\/span>length <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>low <span class=\"token operator\">&lt;<\/span> high<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> <span class=\"token punctuation\">(<\/span>high <span class=\"token operator\">&#8211;<\/span> low <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> <span class=\"token number\">2<\/span> <span class=\"token operator\">&#043;<\/span> low<span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>matrix<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;&#061;<\/span> target<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n                low <span class=\"token operator\">&#061;<\/span> mid<span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span> <span class=\"token keyword\">else<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n                high <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><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> low<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>    <span class=\"token keyword\">public<\/span> <span class=\"token keyword\">boolean<\/span> <span class=\"token function\">binarySearchRow<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> row<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> low <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> high <span class=\"token operator\">&#061;<\/span> row<span class=\"token punctuation\">.<\/span>length <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>low <span class=\"token operator\">&lt;&#061;<\/span> high<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> <span class=\"token punctuation\">(<\/span>high <span class=\"token operator\">&#8211;<\/span> low<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> <span class=\"token number\">2<\/span> <span class=\"token operator\">&#043;<\/span> low<span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>row<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> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/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>row<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 punctuation\">{<\/span><br \/>\n                high <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> <span class=\"token keyword\">else<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n                low <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 punctuation\">}<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">false<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>\u4f5c\u8005&#xff1a;\u529b\u6263\u5b98\u65b9\u9898\u89e3<br \/>\n\u94fe\u63a5&#xff1a;https<span class=\"token operator\">:<\/span><span class=\"token operator\">\/<\/span><span class=\"token operator\">\/<\/span>leetcode<span class=\"token punctuation\">.<\/span>cn<span class=\"token operator\">\/<\/span>problems<span class=\"token operator\">\/<\/span>search<span class=\"token operator\">&#8211;<\/span>a<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">2d<\/span><span class=\"token operator\">&#8211;<\/span>matrix<span class=\"token operator\">\/<\/span>solutions<span class=\"token operator\">\/<\/span><span class=\"token number\">688117<\/span><span class=\"token operator\">\/<\/span>sou<span class=\"token operator\">&#8211;<\/span>suo<span class=\"token operator\">&#8211;<\/span>er<span class=\"token operator\">&#8211;<\/span>wei<span class=\"token operator\">&#8211;<\/span>ju<span class=\"token operator\">&#8211;<\/span>zhen<span class=\"token operator\">&#8211;<\/span>by<span class=\"token operator\">&#8211;<\/span>leetcode<span class=\"token operator\">&#8211;<\/span>solut<span class=\"token operator\">&#8211;<\/span>vxui<span class=\"token operator\">\/<\/span><br \/>\n\u6765\u6e90&#xff1a;\u529b\u6263&#xff08;<span class=\"token class-name\">LeetCode<\/span>&#xff09;<br \/>\n\u8457\u4f5c\u6743\u5f52\u4f5c\u8005\u6240\u6709\u3002\u5546\u4e1a\u8f6c\u8f7d\u8bf7\u8054\u7cfb\u4f5c\u8005\u83b7\u5f97\u6388\u6743&#xff0c;\u975e\u5546\u4e1a\u8f6c\u8f7d\u8bf7\u6ce8\u660e\u51fa\u5904\u3002<\/p>\n<ul>\n<li>Golang \u4ee3\u7801\u6f14\u793a<\/li>\n<\/ul>\n<p><span class=\"token keyword\">func<\/span> <span class=\"token function\">searchMatrix<\/span><span class=\"token punctuation\">(<\/span>matrix <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><span class=\"token builtin\">int<\/span><span class=\"token punctuation\">,<\/span> target <span class=\"token builtin\">int<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token builtin\">bool<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token function\">len<\/span><span class=\"token punctuation\">(<\/span>matrix<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">0<\/span> <span class=\"token operator\">||<\/span> <span class=\"token function\">len<\/span><span class=\"token punctuation\">(<\/span>matrix<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">0<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">false<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>    m<span class=\"token punctuation\">,<\/span> n <span class=\"token operator\">:&#061;<\/span> <span class=\"token function\">len<\/span><span class=\"token punctuation\">(<\/span>matrix<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token function\">len<\/span><span class=\"token punctuation\">(<\/span>matrix<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token comment\">\/\/ \u7b2c\u4e00\u6b21\u4e8c\u5206&#xff1a;\u5b9a\u4f4d\u884c<\/span><br \/>\n    <span class=\"token comment\">\/\/ \u627e\u7b2c\u4e00\u4e2a\u6ee1\u8db3 matrix[row][n-1] &gt;&#061; target \u7684\u884c<\/span><br \/>\n    top<span class=\"token punctuation\">,<\/span> bottom <span class=\"token operator\">:&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> m<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><br \/>\n    <span class=\"token keyword\">for<\/span> top <span class=\"token operator\">&lt;<\/span> bottom <span class=\"token punctuation\">{<\/span><br \/>\n        mid <span class=\"token operator\">:&#061;<\/span> top <span class=\"token operator\">&#043;<\/span> <span class=\"token punctuation\">(<\/span>bottom<span class=\"token operator\">&#8211;<\/span>top<span class=\"token punctuation\">)<\/span><span class=\"token operator\">\/<\/span><span class=\"token number\">2<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> matrix<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>n<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> target <span class=\"token punctuation\">{<\/span><br \/>\n            top <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span> <span class=\"token keyword\">else<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            bottom <span class=\"token operator\">&#061;<\/span> mid<br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n    row <span class=\"token operator\">:&#061;<\/span> top<\/p>\n<p>    <span class=\"token comment\">\/\/ \u7b2c\u4e8c\u6b21\u4e8c\u5206&#xff1a;\u5728\u8be5\u884c\u5185\u67e5\u627e<\/span><br \/>\n    left<span class=\"token punctuation\">,<\/span> right <span class=\"token operator\">:&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> n<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><br \/>\n    <span class=\"token keyword\">for<\/span> left <span class=\"token operator\">&lt;&#061;<\/span> right <span class=\"token punctuation\">{<\/span><br \/>\n        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><br \/>\n        <span class=\"token keyword\">if<\/span> matrix<span class=\"token punctuation\">[<\/span>row<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> target <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span> <span class=\"token keyword\">else<\/span> <span class=\"token keyword\">if<\/span> matrix<span class=\"token punctuation\">[<\/span>row<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> target <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><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><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 boolean\">false<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<h4>\u7b2c\u56db\u79cd&#xff1a;\u6a21\u62df\u4e00\u7ef4\u6570\u7ec4<\/h4>\n<p>\u5982\u679c\u628a\u4e8c\u7ef4\u6570\u7ec4\u6309\u5143\u7d20\u4e2a\u6570\u201c\u644a\u5e73\u201d&#xff0c;\u5bf9\u4e0a\u9762\u90a3\u4e2a 3\u00d74 \u7684\u6570\u7ec4\u6765\u8bf4&#xff0c;\u51e0\u4e4e\u6240\u6709\u4eba\u90fd\u4f1a\u628a\u7b2c\u4e00\u884c\u7b2c\u4e00\u4e2a\u5143\u7d20\u5f53\u4f5c\u7b2c 1 \u4e2a\u5143\u7d20&#xff0c;\u628a\u7b2c\u4e09\u884c\u7b2c\u56db\u4e2a\u5143\u7d20\u5f53\u4f5c\u7b2c 12 \u4e2a\u5143\u7d20\u3002\u6211\u4eec\u5c31\u6309\u8fd9\u4e2a\u903b\u8f91\u6a21\u62df\u4e00\u7ef4\u6570\u7ec4\u2014\u2014\u6574\u4e2a\u6570\u7ec4\u957f\u5ea6\u4e3a 12\u3002<\/p>\n<p>\u90a3\u95ee\u9898\u6765\u4e86&#xff1a;\u600e\u4e48\u628a\u8fd9\u4e2a\u201c\u8111\u6d77\u4e2d\u6a21\u62df\u7684\u4e00\u7ef4\u6570\u7ec4\u201d\u548c\u771f\u5b9e\u7684\u4e8c\u7ef4\u6570\u7ec4\u505a\u6620\u5c04&#xff1f;<\/p>\n<p>\u8fd9\u91cc\u76f4\u63a5\u7ed9\u516c\u5f0f&#xff1a;<\/p>\n<p>matrix[mid \/ n][mid % n] \u7a0d\u5fae\u63a8\u6f14\u4e00\u4e0b\u5c31\u80fd\u660e\u767d&#xff1a;mid \/ n \u5b9a\u4f4d\u884c&#xff0c;mid % n \u5b9a\u4f4d\u5217\u3002<\/p>\n<p>\u597d&#xff0c;\u73b0\u5728\u6309\u8fd9\u4e2a\u601d\u8def\u5199\u4ee3\u7801\u3002<\/p>\n<p>Java \u4ee3\u7801\u6f14\u793a<\/p>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">public<\/span> <span class=\"token keyword\">boolean<\/span> <span class=\"token function\">searchMatrix<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> matrix<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> m <span class=\"token operator\">&#061;<\/span> matrix<span class=\"token punctuation\">.<\/span>length<span class=\"token punctuation\">,<\/span> n <span class=\"token operator\">&#061;<\/span> matrix<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>length<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> low <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> high <span class=\"token operator\">&#061;<\/span> m <span class=\"token operator\">*<\/span> n <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>low <span class=\"token operator\">&lt;&#061;<\/span> high<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> <span class=\"token punctuation\">(<\/span>high <span class=\"token operator\">&#8211;<\/span> low<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> <span class=\"token number\">2<\/span> <span class=\"token operator\">&#043;<\/span> low<span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> x <span class=\"token operator\">&#061;<\/span> matrix<span class=\"token punctuation\">[<\/span>mid <span class=\"token operator\">\/<\/span> n<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>mid <span class=\"token operator\">%<\/span> n<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>x <span class=\"token operator\">&lt;<\/span> target<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n                low <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 punctuation\">}<\/span> <span class=\"token keyword\">else<\/span> <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>x <span class=\"token operator\">&gt;<\/span> target<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n                high <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> <span class=\"token keyword\">else<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n                <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">false<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>\u4f5c\u8005&#xff1a;\u529b\u6263\u5b98\u65b9\u9898\u89e3<br \/>\n\u94fe\u63a5&#xff1a;https<span class=\"token operator\">:<\/span><span class=\"token operator\">\/<\/span><span class=\"token operator\">\/<\/span>leetcode<span class=\"token punctuation\">.<\/span>cn<span class=\"token operator\">\/<\/span>problems<span class=\"token operator\">\/<\/span>search<span class=\"token operator\">&#8211;<\/span>a<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">2d<\/span><span class=\"token operator\">&#8211;<\/span>matrix<span class=\"token operator\">\/<\/span>solutions<span class=\"token operator\">\/<\/span><span class=\"token number\">688117<\/span><span class=\"token operator\">\/<\/span>sou<span class=\"token operator\">&#8211;<\/span>suo<span class=\"token operator\">&#8211;<\/span>er<span class=\"token operator\">&#8211;<\/span>wei<span class=\"token operator\">&#8211;<\/span>ju<span class=\"token operator\">&#8211;<\/span>zhen<span class=\"token operator\">&#8211;<\/span>by<span class=\"token operator\">&#8211;<\/span>leetcode<span class=\"token operator\">&#8211;<\/span>solut<span class=\"token operator\">&#8211;<\/span>vxui<span class=\"token operator\">\/<\/span><br \/>\n\u6765\u6e90&#xff1a;\u529b\u6263&#xff08;<span class=\"token class-name\">LeetCode<\/span>&#xff09;<br \/>\n\u8457\u4f5c\u6743\u5f52\u4f5c\u8005\u6240\u6709\u3002\u5546\u4e1a\u8f6c\u8f7d\u8bf7\u8054\u7cfb\u4f5c\u8005\u83b7\u5f97\u6388\u6743&#xff0c;\u975e\u5546\u4e1a\u8f6c\u8f7d\u8bf7\u6ce8\u660e\u51fa\u5904\u3002<\/p>\n<p>Golang \u4ee3\u7801\u6f14\u793a<\/p>\n<p><span class=\"token keyword\">func<\/span> <span class=\"token function\">searchMatrix<\/span><span class=\"token punctuation\">(<\/span>matrix <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><span class=\"token builtin\">int<\/span><span class=\"token punctuation\">,<\/span> target <span class=\"token builtin\">int<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token builtin\">bool<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    m<span class=\"token punctuation\">,<\/span> n <span class=\"token operator\">:&#061;<\/span> <span class=\"token function\">len<\/span><span class=\"token punctuation\">(<\/span>matrix<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token function\">len<\/span><span class=\"token punctuation\">(<\/span>matrix<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    l<span class=\"token punctuation\">,<\/span> r <span class=\"token operator\">:&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> m<span class=\"token operator\">*<\/span>n<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><br \/>\n    <span class=\"token keyword\">for<\/span> l <span class=\"token operator\">&lt;&#061;<\/span> r <span class=\"token punctuation\">{<\/span><br \/>\n        mid <span class=\"token operator\">:&#061;<\/span> l <span class=\"token operator\">&#043;<\/span> <span class=\"token punctuation\">(<\/span>r<span class=\"token operator\">&#8211;<\/span>l<span class=\"token punctuation\">)<\/span><span class=\"token operator\">\/<\/span><span class=\"token number\">2<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> matrix<span class=\"token punctuation\">[<\/span>mid<span class=\"token operator\">\/<\/span>n<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>mid<span class=\"token operator\">%<\/span>n<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> target <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span> <span class=\"token keyword\">else<\/span> <span class=\"token keyword\">if<\/span> matrix<span class=\"token punctuation\">[<\/span>mid<span class=\"token operator\">\/<\/span>n<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>mid<span class=\"token operator\">%<\/span>n<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> target <span class=\"token punctuation\">{<\/span><br \/>\n            l <span class=\"token operator\">&#061;<\/span> mid<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span> <span class=\"token keyword\">else<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            r <span class=\"token operator\">&#061;<\/span> mid<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">false<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<h3>\u603b\u7ed3<\/h3>\n<p>\u672c\u6587\u662f \u300a\u7b97\u6cd5\u9898\u76ee\u89e3\u6790\u7cfb\u5217\u300b \u7684\u7b2c [32] \u7bc7&#xff0c;\u672c\u7cfb\u5217\u5c06\u6301\u7eed\u66f4\u65b0&#xff0c;\u6bcf\u7bc7\u90fd\u63d0\u4f9b\u6e05\u6670\u7684\u601d\u8def\u4e0e\u7f16\u7a0b\u8bed\u8a00\u5b9e\u73b0\u3002\u6b22\u8fce\u5173\u6ce8&#xff0c;\u7b2c\u4e00\u65f6\u95f4\u83b7\u53d6\u66f4\u65b0\u3002\u5982\u679c\u4f60\u6709\u60f3\u770b\u7684\u9898\u76ee&#xff0c;\u4e5f\u53ef\u4ee5\u5728\u8bc4\u8bba\u533a\u7559\u8a00\u544a\u8bc9\u6211\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>74. \u641c\u7d22\u4e8c\u7ef4\u77e9\u9635 \u6587\u7ae0\u76ee\u5f55[74. \u641c\u7d22\u4e8c\u7ef4\u77e9\u9635](https:\/\/leetcode.cn\/problems\/search-a-2d-matrix\/)\u56db\u79cd\u89e3\u9898\u601d\u8def\u7b2c\u4e00\u79cd&#xff1a;\u66b4\u529b\u679a\u4e3e&#xff08;O(m\u00b7n)&#xff09;\u7b2c\u4e8c\u79cd&#xff1a;\u9010\u884c\u4e8c\u5206&#xff08;O(m\u00b7log n)&#xff09;\u7b2c\u4e09\u79cd&#xff1a;\u4e24\u6b21\u4e8c\u5206&#xff08;O(log m  log n)  O(log(m\u00b7n))&#xff09;\u7b2c\u56db\u79cd&#xff1a;\u6a21\u62df\u4e00\u7ef4\u6570\u7ec4\u603b\u7ed3\u7ed9<\/p>\n","protected":false},"author":2,"featured_media":104004,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[746,99,81,1813,427],"topic":[],"class_list":["post-104006","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-server","tag-golang","tag-java","tag-python","tag-1813","tag-427"],"yoast_head":"<!-- This site is optimized 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