{"id":128,"date":"2025-08-22T15:05:47","date_gmt":"2025-08-22T07:05:47","guid":{"rendered":"https:\/\/heyingnian.com\/?p=128"},"modified":"2025-08-22T16:45:42","modified_gmt":"2025-08-22T08:45:42","slug":"leetcode-11","status":"publish","type":"post","link":"https:\/\/heyingnian.com\/index.php\/2025\/08\/22\/leetcode-11\/","title":{"rendered":"\u76db\u6700\u591a\u6c34\u7684\u5bb9\u5668"},"content":{"rendered":"\n<h1 class=\"wp-block-heading\"><br>\ud83d\udd17 \u76db\u6700\u591a\u6c34\u7684\u5bb9\u5668<\/h1>\n\n\n\n<p>\u9898\u76ee\u6765\u6e90\uff1a<a target=\"_blank\" rel=\"noreferrer noopener\"><\/a><a href=\"https:\/\/leetcode.cn\/problems\/container-with-most-water\/description\/?envType=study-plan-v2&amp;envId=top-100-liked\" target=\"_blank\" rel=\"noopener\">11. \u76db\u6700\u591a\u6c34\u7684\u5bb9\u5668 &#8211; \u529b\u6263\uff08LeetCode\uff09<\/a><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\ud83d\udccc \u9898\u76ee\u63cf\u8ff0<\/p>\n\n\n\n<p>\u7ed9\u5b9a\u4e00\u4e2a\u957f\u5ea6\u4e3a <code>n<\/code> \u7684\u6574\u6570\u6570\u7ec4 <code>height<\/code>\u3002\u6709 <code>n<\/code> \u6761\u5782\u7ebf\uff0c\u7b2c <code>i<\/code> \u6761\u7ebf\u7684\u4e24\u4e2a\u7aef\u70b9\u662f <code>(i, 0)<\/code> \u548c <code>(i, height[i])<\/code>\u3002<\/p>\n\n\n\n<p>\u627e\u51fa\u5176\u4e2d\u7684\u4e24\u6761\u7ebf\uff0c\u4f7f\u5f97\u5b83\u4eec\u4e0e <code>x<\/code> \u8f74\u5171\u540c\u6784\u6210\u7684\u5bb9\u5668\u53ef\u4ee5\u5bb9\u7eb3\u6700\u591a\u7684\u6c34\u3002<\/p>\n\n\n\n<p>\u8fd4\u56de\u5bb9\u5668\u53ef\u4ee5\u50a8\u5b58\u7684\u6700\u5927\u6c34\u91cf\u3002<\/p>\n\n\n\n<p><strong>\u8bf4\u660e<\/strong>\uff1a\u4f60\u4e0d\u80fd\u503e\u659c\u5bb9\u5668\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\u2705 \u793a\u4f8b\u89e3\u6790<\/p>\n\n\n\n<p>\u793a\u4f8b 1\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/heyingnian.com\/wp-content\/uploads\/2025\/08\/image.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"801\" height=\"383\" data-original=\"https:\/\/heyingnian.com\/wp-content\/uploads\/2025\/08\/image.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-129\"  sizes=\"auto, (max-width: 801px) 100vw, 801px\" \/><\/div><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8f93\u5165\uff1a<code>height = [1,8,6,2,5,4,8,3,7]<\/code><\/li>\n\n\n\n<li>\u8f93\u51fa\uff1a<code>49<\/code><\/li>\n\n\n\n<li>\u89e3\u91ca\uff1a\u56fe\u4e2d\u5782\u76f4\u7ebf\u4ee3\u8868\u8f93\u5165\u6570\u7ec4&nbsp;<code>[1,8,6,2,5,4,8,3,7]<\/code>\u3002\u5728\u6b64\u60c5\u51b5\u4e0b\uff0c\u5bb9\u5668\u80fd\u591f\u5bb9\u7eb3\u6c34\uff08\u8868\u793a\u4e3a\u84dd\u8272\u90e8\u5206\uff09\u7684\u6700\u5927\u503c\u4e3a&nbsp;<code>49<\/code>\u3002\u5bf9\u5e94\u7684\u4e24\u6761\u7ebf\u4e3a\u7d22\u5f15&nbsp;<code>1<\/code>\uff08\u9ad8\u5ea6&nbsp;<code>8<\/code>\uff09\u548c\u7d22\u5f15&nbsp;<code>8<\/code>\uff08\u9ad8\u5ea6&nbsp;<code>7<\/code>\uff09\uff0c\u5bbd\u5ea6\u4e3a&nbsp;<code>7<\/code>\uff0c\u9ad8\u5ea6\u4e3a&nbsp;<code>min(8,7)=7<\/code>\uff0c\u9762\u79ef\u4e3a&nbsp;<code>7\u00d77=49<\/code>\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u793a\u4f8b 2\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8f93\u5165\uff1a<code>height = [1,1]<\/code><\/li>\n\n\n\n<li>\u8f93\u51fa\uff1a<code>1<\/code><\/li>\n\n\n\n<li>\u89e3\u91ca\uff1a\u4e24\u6761\u7ebf\u9ad8\u5ea6\u5747\u4e3a&nbsp;<code>1<\/code>\uff0c\u5bbd\u5ea6\u4e3a&nbsp;<code>1<\/code>\uff0c\u6700\u5927\u9762\u79ef\u4e3a&nbsp;<code>1\u00d71=1<\/code>\u3002<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\u26a0\ufe0f \u63d0\u793a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><code>n == height.length<\/code><\/li>\n\n\n\n<li><code>2 &lt;= n &lt;= 10\u2075<\/code><\/li>\n\n\n\n<li><code>0 &lt;= height[i] &lt;= 10\u2074<\/code><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\ud83d\udca1 \u89e3\u6cd5\uff1a\u53cc\u6307\u9488\u6cd5\uff08\u5de6\u53f3\u5939\u903c\uff09\u2014\u2014 O(n) \u65f6\u95f4\uff0cO(1) \u7a7a\u95f4<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><strong>class<\/strong> <strong>Solution<\/strong> {\n    <strong>public<\/strong> <strong>int<\/strong> <strong>maxArea<\/strong>(<strong>int<\/strong>&#91;] height) {\n        <strong>int<\/strong> left = 0;\n        <strong>int<\/strong> right = height.length - 1;\n        <strong>int<\/strong> maxArea = 0;\n\n        <strong>while<\/strong> (left &lt; right) {\n            <strong>int<\/strong> minHeight = Math.min(height&#91;left], height&#91;right]);\n            maxArea = Math.max(maxArea, (right - left) * minHeight);\n            <strong>if<\/strong> (height&#91;left] &lt; height&#91;right]) {\n                left++;\n            } <strong>else<\/strong> {\n                right--;\n            }\n        }\n\n        <strong>return<\/strong> maxArea;\n    }\n}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\ud83d\udcca \u590d\u6742\u5ea6\u5206\u6790<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u65f6\u95f4\u590d\u6742\u5ea6\uff1aO(n)<\/strong><br>\u53cc\u6307\u9488\u4ece\u4e24\u7aef\u5411\u4e2d\u95f4\u79fb\u52a8\uff0c\u6700\u591a\u904d\u5386\u6570\u7ec4\u4e00\u6b21\uff0c\u6bcf\u4e2a\u5143\u7d20\u8bbf\u95ee\u4e00\u6b21\uff0c\u56e0\u6b64\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a\u7ebf\u6027\u3002<\/li>\n\n\n\n<li><strong>\u7a7a\u95f4\u590d\u6742\u5ea6\uff1aO(1)<\/strong><br>\u53ea\u4f7f\u7528\u4e86\u5e38\u6570\u4e2a\u989d\u5916\u53d8\u91cf\uff08<code>left<\/code>, <code>right<\/code>, <code>maxArea<\/code>, <code>minHeight<\/code>\uff09\uff0c\u65e0\u9700\u989d\u5916\u7a7a\u95f4\u3002<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\ud83e\udde9 \u89e3\u9898\u601d\u8def<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u6838\u5fc3\u89c2\u5bdf<\/strong>\uff1a<br>\u5bb9\u5668\u7684\u9762\u79ef\u7531\u4e24\u4e2a\u56e0\u7d20\u51b3\u5b9a\uff1a\n<ul class=\"wp-block-list\">\n<li><strong>\u5bbd\u5ea6<\/strong>\uff1a\u4e24\u6307\u9488\u4e4b\u95f4\u7684\u8ddd\u79bb&nbsp;<code>right - left<\/code><\/li>\n\n\n\n<li><strong>\u9ad8\u5ea6<\/strong>\uff1a\u7531\u8f83\u77ed\u7684\u90a3\u6761\u8fb9\u51b3\u5b9a&nbsp;<code>min(height[left], height[right])<\/code><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u8d2a\u5fc3\u7b56\u7565 + \u53cc\u6307\u9488<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u521d\u59cb\u65f6\uff0c<code>left = 0<\/code>\uff0c<code>right = n - 1<\/code>\uff0c\u6b64\u65f6\u5bbd\u5ea6\u6700\u5927\u3002<\/li>\n\n\n\n<li>\u6bcf\u6b21\u8ba1\u7b97\u5f53\u524d\u9762\u79ef\uff0c\u5e76\u66f4\u65b0\u6700\u5927\u503c\u3002<\/li>\n\n\n\n<li>\u7136\u540e\u79fb\u52a8<strong>\u8f83\u77ed\u8fb9\u5bf9\u5e94\u7684\u6307\u9488<\/strong>\u3002\n<ul class=\"wp-block-list\">\n<li>\u56e0\u4e3a\u5982\u679c\u79fb\u52a8\u8f83\u957f\u8fb9\uff0c\u5bbd\u5ea6\u51cf\u5c0f\uff0c\u800c\u9ad8\u5ea6\u4ecd\u53d7\u9650\u4e8e\u8f83\u77ed\u8fb9\uff0c\u9762\u79ef\u4e0d\u53ef\u80fd\u53d8\u5927\u3002<\/li>\n\n\n\n<li>\u53ea\u6709\u79fb\u52a8\u8f83\u77ed\u8fb9\uff0c\u624d\u6709\u53ef\u80fd\u627e\u5230\u66f4\u9ad8\u7684\u8fb9\uff0c\u4ece\u800c\u83b7\u5f97\u66f4\u5927\u7684\u9762\u79ef\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u4e3a\u4ec0\u4e48\u4e0d\u4f1a\u9519\u8fc7\u6700\u4f18\u89e3\uff1f<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u6bcf\u6b21\u79fb\u52a8\u8f83\u77ed\u8fb9\uff0c\u662f\u5728\u201c\u727a\u7272\u5bbd\u5ea6\u201d\u7684\u524d\u63d0\u4e0b\uff0c<strong>\u4fdd\u7559\u66f4\u9ad8\u7684\u8fb9<\/strong>\uff0c\u4e3a\u540e\u7eed\u53ef\u80fd\u7684\u66f4\u5927\u9762\u79ef\u521b\u9020\u673a\u4f1a\u3002<\/li>\n\n\n\n<li>\u6240\u6709\u7ec4\u5408\u90fd\u4f1a\u88ab\u9690\u5f0f\u6bd4\u8f83\uff0c\u4f46\u7531\u4e8e\u8d2a\u5fc3\u526a\u679d\uff0c\u907f\u514d\u4e86\u66b4\u529b\u679a\u4e3e\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u7ec8\u6b62\u6761\u4ef6<\/strong>\uff1a<br>\u5f53 <code>left &gt;= right<\/code> \u65f6\u505c\u6b62\uff0c\u6240\u6709\u53ef\u80fd\u7684\u7ec4\u5408\u5df2\u88ab\u8003\u8651\u3002<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\ud83d\udd17 \u76db\u6700\u591a\u6c34\u7684\u5bb9\u5668 \u9898\u76ee\u6765\u6e90\uff1a11. \u76db\u6700\u591a\u6c34\u7684\u5bb9\u5668 &#8211; \u529b\u6263\uff08LeetCode\uff09 \ud83d\udccc \u9898\u76ee\u63cf\u8ff0  [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[20,12],"tags":[16,14],"class_list":["post-128","post","type-post","status-publish","format-standard","hentry","category-double_pointers","category-algorithm","tag-double_pointers","tag-algorithm"],"_links":{"self":[{"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/posts\/128","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/comments?post=128"}],"version-history":[{"count":2,"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/posts\/128\/revisions"}],"predecessor-version":[{"id":131,"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/posts\/128\/revisions\/131"}],"wp:attachment":[{"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/media?parent=128"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/categories?post=128"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/tags?post=128"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}