{"id":6996,"date":"2024-02-10T21:59:26","date_gmt":"2024-02-10T13:59:26","guid":{"rendered":"https:\/\/zyrastory.com\/?p=6996"},"modified":"2024-02-10T21:59:28","modified_gmt":"2024-02-10T13:59:28","slug":"leetcode-119-pascals-triangle-ii-solution-and-translate","status":"publish","type":"post","link":"https:\/\/zyrastory.com\/coding\/leetcode\/leetcode-119-pascals-triangle-ii-solution-and-translate\/","title":{"rendered":"LeetCode #119 Pascal&#8217;s Triangle II  \u5df4\u65af\u5361\u4e09\u89d2\u5f62 II"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_65 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title \" >\u5167\u5bb9\u76ee\u9304<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/zyrastory.com\/coding\/leetcode\/leetcode-119-pascals-triangle-ii-solution-and-translate\/#%e8%a7%a3%e9%a1%8c%e6%80%9d%e8%b7%af\" title=\"\u89e3\u984c\u601d\u8def\">\u89e3\u984c\u601d\u8def<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/zyrastory.com\/coding\/leetcode\/leetcode-119-pascals-triangle-ii-solution-and-translate\/#c-%e8%a7%a3%e6%b1%ba%e6%96%b9%e6%a1%88\" title=\"C# \u89e3\u6c7a\u65b9\u6848 \">C# \u89e3\u6c7a\u65b9\u6848 <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/zyrastory.com\/coding\/leetcode\/leetcode-119-pascals-triangle-ii-solution-and-translate\/#java-%e8%a7%a3%e6%b1%ba%e6%96%b9%e6%a1%88\" title=\"Java \u89e3\u6c7a\u65b9\u6848 \">Java \u89e3\u6c7a\u65b9\u6848 <\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/zyrastory.com\/coding\/leetcode\/leetcode-119-pascals-triangle-ii-solution-and-translate\/#%e7%b5%90%e8%ab%96\" title=\"\u7d50\u8ad6\">\u7d50\u8ad6<\/a><\/li><\/ul><\/nav><\/div>\n\n<p style=\"font-size:clamp(14px, 0.875rem + ((1vw - 3.2px) * 0.313), 18px);\"><strong>\u82f1\u6587\u539f\u6587\u5982\u4e0b<\/strong><\/p>\n\n\n\n<p>Given an integer&nbsp;<strong>rowIndex<\/strong>, return the&nbsp;rowIndex<sup>th<\/sup>&nbsp;(<strong>0-indexed<\/strong>) row of the&nbsp;<strong>Pascal&#8217;s triangle<\/strong>.<\/p>\n\n\n\n<p>In\u00a0<strong>Pascal&#8217;s triangle<\/strong>, each number is the sum of the two numbers directly above it as shown:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"260\" height=\"240\" src=\"https:\/\/zyrastory.com\/wp-content\/uploads\/2024\/02\/PascalTriangleAnimated2.gif\" alt=\"\" class=\"wp-image-6986\" style=\"width:346px;height:auto\"\/><\/figure>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p><strong>\u4e2d\u6587\u7ffb\u8b6f<\/strong><\/p>\n\n\n\n<p>\u7d66\u4e88\u4e00\u500b\u6574\u6578 <strong>rowIndex<\/strong>\uff0c\u56de\u50b3\u7b2c <strong>rowIndex<\/strong> \u5217 (\u5f9e0\u958b\u59cb)\u7684\u5df4\u65af\u5361\u4e09\u89d2\u5f62\u3002<\/p>\n\n\n\n<p>\u5728\u5df4\u65af\u5361\u4e09\u89d2\u5f62\u4e2d\uff0c\u6bcf\u4e00\u500b\u6578\u5b57\u90fd\u662f\u4e0a\u9762\u7684\u5169\u500b\u6578\u5b57\u7684\u52a0\u7e3d\uff0c\u986f\u793a\u5982\u4e0b(\u4e0a\u9762\u90a3\u5f35\u5716\uff0c\u4e0d\u5728\u8cbc\u4e00\u6b21\u4e86)\u3002<\/p>\n\n\n\n<div style=\"height:35px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p><strong>\u7bc4\u4f8b\u53ca\u984c\u76ee\u9650\u5236<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"384\" height=\"581\" src=\"https:\/\/zyrastory.com\/wp-content\/uploads\/2024\/02\/119_Examples_Constraints.webp\" alt=\"\" class=\"wp-image-6988\" srcset=\"https:\/\/zyrastory.com\/wp-content\/uploads\/2024\/02\/119_Examples_Constraints.webp 384w, https:\/\/zyrastory.com\/wp-content\/uploads\/2024\/02\/119_Examples_Constraints-198x300.webp 198w\" sizes=\"(max-width: 384px) 100vw, 384px\" \/><\/figure>\n\n\n\n<div style=\"height:25px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p><strong>Follow up:<\/strong>\u00a0Could you optimize your algorithm to use only\u00a0<strong>O(rowIndex)<\/strong>\u00a0extra space?<\/p>\n\n\n\n<p>\u9032\u4e00\u6b65: \u4f60\u53ef\u4ee5\u512a\u5316\u4f60\u7684\u7b97\u6cd5\u4f7f\u5176\u53ea\u4f7f\u7528 <strong>O(rowIndex)<\/strong> \u7684\u984d\u5916\u7a7a\u9593\u55ce?<\/p>\n\n\n\n<div style=\"height:25px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%e8%a7%a3%e9%a1%8c%e6%80%9d%e8%b7%af\"><\/span>\u89e3\u984c\u601d\u8def<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u9019\u4e00\u984c\uff0c\u6211\u5011\u53ef\u4ee5\u5148\u53c3\u8003\u7cfb\u5217\u7684\u7b2c\u4e00\u984c &#8211; <a href=\"https:\/\/zyrastory.com\/coding\/leetcode\/leetcode-118-pascals-triangle-solution-and-translate\/\" target=\"_blank\" rel=\"noreferrer noopener\">LeetCode #118 Pascal&#8217;s Triangle \u89e3\u984c\u601d\u8def\u53ca\u7ffb\u8b6f <\/a><\/p>\n\n\n\n<p>\u5b83\u5011\u4e4b\u9593\u552f\u4e00\u7684\u5dee\u7570\u5c31\u662f\u4e00\u500b\u8981\u6574\u500b\u4e09\u89d2\u5f62\uff0c\u800c\u9019\u4e00\u984c\u53ea\u8981\u7279\u5b9a\u7684\u5217\u5c31\u597d<\/p>\n\n\n\n<div style=\"height:35px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"c-%e8%a7%a3%e6%b1%ba%e6%96%b9%e6%a1%88\"><\/span><strong>C# \u89e3\u6c7a\u65b9\u6848 <\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p><strong>\u65b9\u68481<\/strong><\/p>\n\n\n\n<div class=\"hcb_wrap\"><pre class=\"prism undefined-numbers lang-csharp\" data-lang=\"C#\"><code>public class Solution {\n    public IList&lt;int&gt; GetRow(int rowIndex) {\n        List&lt;int&gt; res = new List&lt;int&gt;();\n        \n        res.Add(1);  \/\/ the first line\n        \n        for (int i = 1; i &lt;= rowIndex; i++) {\n            for (int j = i - 1; j &gt;= 1; j--) {\n                res[j] += res[j - 1];\n            }\n            res.Add(1);\n        }\n        \n        return res;\n    }\n}<\/code><\/pre><\/div>\n\n\n\n<div style=\"height:35px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"java-%e8%a7%a3%e6%b1%ba%e6%96%b9%e6%a1%88\"><\/span><strong>Java \u89e3\u6c7a\u65b9\u6848 <\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p><strong>\u65b9\u68481<\/strong><\/p>\n\n\n\n<div class=\"hcb_wrap\"><pre class=\"prism undefined-numbers lang-java\" data-lang=\"Java\"><code>class Solution {\n    public List&lt;Integer&gt; getRow(int rowIndex) {\n        List&lt;Integer&gt; res = new ArrayList&lt;Integer&gt;();\n        \n        res.add(1);  \/\/ the first line\n        \n        for (int i = 1; i &lt;= rowIndex; i++) {\n            for (int j = i - 1; j &gt;= 1; j--) {\n                res.set(j,res.get(j) + res.get(j - 1));\n            }\n            res.add(1);\n        }\n        \n        return res;\n    }\n}<\/code><\/pre><\/div>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%e7%b5%90%e8%ab%96\"><\/span><strong>\u7d50\u8ad6<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"has-medium-font-size\">\ud83e\udde1<strong>\u5982\u679c\u9019\u7bc7\u6587\u7ae0\u6709\u5e6b\u4e0a\u4f60\u7684\u4e00\u9ede\u9ede\u5fd9\uff0c\u90a3\u662f\u6211\u7684\u69ae\u5e78<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">\ud83e\udde1<strong>\u6536\u85cf\u6587\u7ae0\u6216\u5e6b\u6211\u9ede\u500b\u5ee3\u544a\uff0c\u90a3\u90fd\u662f\u5c0d\u6211\u7684\u652f\u6301<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>\u2705\u5982\u6709\u4efb\u4f55\u7591\u554f\uff0c\u6b61\u8fce\u900f\u904e\u7559\u8a00\u6216messenger\u8b93\u6211\u77e5\u9053 !<\/strong><\/p>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p><strong>\u984c\u76ee\u9023\u7d50 :<\/strong> <a href=\"https:\/\/leetcode.com\/problems\/pascals-triangle-ii\/description\/\" target=\"_blank\" rel=\"noreferrer noopener\">Pascal&#8217;s Triangle II &#8211; LeetCode<\/a><\/p>\n\n\n\n<p><strong>\u76f8\u95dc\u984c\u76ee :<\/strong><\/p>\n\n\n\n<ul>\n<li><a href=\"https:\/\/zyrastory.com\/coding\/leetcode\/leetcode-118-pascals-triangle-solution-and-translate\/\" target=\"_blank\" rel=\"noreferrer noopener\">LeetCode #118 Pascal&#8217;s Triangle \u89e3\u984c\u601d\u8def\u53ca\u7ffb\u8b6f<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/zyrastory.com\/coding\/leetcode\/leetcode-70-climbing-stairs-%e8%a7%a3%e9%a1%8c%e6%80%9d%e8%b7%af%e5%8f%8a%e7%bf%bb%e8%ad%af\/\" target=\"_blank\" rel=\"noreferrer noopener\">LeetCode #70 Climbing Stairs \u89e3\u984c\u601d\u8def\u53ca\u7ffb\u8b6f<\/a><\/li>\n<\/ul>\n\n\n\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"uag-hide-tab uag-hide-mob\"><strong>\u4e00\u4e9b\u96a8\u6a5f\u7684LeetCode\u6587\u7ae0<\/strong><\/p>\n\n\n\n\t\t\t<div class=\"wp-block-uagb-post-grid uagb-post-grid  uagb-post__image-position-top uagb-post__image-disabled uagb-block-f4bc3f3d     uagb-post__items uagb-post__columns-3 is-grid uagb-post__columns-tablet-2 uagb-post__columns-mobile-1 uagb-post__equal-height\" data-total=\"13\" style=\"\">\n\n\t\t\t\t\t\t\t\t\t\t\t\t<article class=\"uagb-post__inner-wrap\">\t\t\t\t\t\t\t\t<h4 class=\"uagb-post__title uagb-post__text\">\n\t\t\t\t<a href=\"https:\/\/zyrastory.com\/en\/coding-en\/leetcode-en\/leetcode-14-longest-common-prefix-solution-and-explanation-en\/\" target=\"_self\" rel=\"bookmark noopener noreferrer\">LeetCode #14 Longest Common Prefix Solution &#038; Explanation<\/a>\n\t\t\t<\/h4>\n\t\t\t\t\t\t<div class='uagb-post__text uagb-post-grid-byline'>\n\t\t\t\t\t\t\t\t<time datetime=\"2022-06-12T12:12:46+08:00\" class=\"uagb-post__date\">\n\t\t\t\t<span class=\"dashicons-calendar dashicons\"><\/span>\t\t\t\t\t2022-06-12\t\t\t\t<\/time>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<div class=\"uagb-post__text uagb-post__cta wp-block-button\">\n\t\t\t\t<a class=\"wp-block-button__link uagb-text-link\" href=\"https:\/\/zyrastory.com\/en\/coding-en\/leetcode-en\/leetcode-14-longest-common-prefix-solution-and-explanation-en\/\" target=\"_self\" rel=\"bookmark noopener noreferrer\">Read More<\/a>\n\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t<\/article>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<article class=\"uagb-post__inner-wrap\">\t\t\t\t\t\t\t\t<h4 class=\"uagb-post__title uagb-post__text\">\n\t\t\t\t<a href=\"https:\/\/zyrastory.com\/en\/coding-en\/leetcode-en\/leetcode-392-is-subsequence-solution-and-explanation-en\/\" target=\"_self\" rel=\"bookmark noopener noreferrer\">LeetCode #392 Is Subsequence Solution &#038; Explanation<\/a>\n\t\t\t<\/h4>\n\t\t\t\t\t\t<div class='uagb-post__text uagb-post-grid-byline'>\n\t\t\t\t\t\t\t\t<time datetime=\"2023-09-21T22:26:34+08:00\" class=\"uagb-post__date\">\n\t\t\t\t<span class=\"dashicons-calendar dashicons\"><\/span>\t\t\t\t\t2023-09-21\t\t\t\t<\/time>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<div class=\"uagb-post__text uagb-post__cta wp-block-button\">\n\t\t\t\t<a class=\"wp-block-button__link uagb-text-link\" href=\"https:\/\/zyrastory.com\/en\/coding-en\/leetcode-en\/leetcode-392-is-subsequence-solution-and-explanation-en\/\" target=\"_self\" rel=\"bookmark noopener noreferrer\">Read More<\/a>\n\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t<\/article>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<article class=\"uagb-post__inner-wrap\">\t\t\t\t\t\t\t\t<h4 class=\"uagb-post__title uagb-post__text\">\n\t\t\t\t<a href=\"https:\/\/zyrastory.com\/en\/coding-en\/leetcode-en\/leetcode-5-longest-palindromic-substring-solution-and-explanation-en\/\" target=\"_self\" rel=\"bookmark noopener noreferrer\">LeetCode #5 Longest Palindromic Substring Solution &#038; Explanation<\/a>\n\t\t\t<\/h4>\n\t\t\t\t\t\t<div class='uagb-post__text uagb-post-grid-byline'>\n\t\t\t\t\t\t\t\t<time datetime=\"2024-02-15T23:43:55+08:00\" class=\"uagb-post__date\">\n\t\t\t\t<span class=\"dashicons-calendar dashicons\"><\/span>\t\t\t\t\t2024-02-15\t\t\t\t<\/time>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<div class=\"uagb-post__text uagb-post__cta wp-block-button\">\n\t\t\t\t<a class=\"wp-block-button__link uagb-text-link\" href=\"https:\/\/zyrastory.com\/en\/coding-en\/leetcode-en\/leetcode-5-longest-palindromic-substring-solution-and-explanation-en\/\" target=\"_self\" rel=\"bookmark noopener noreferrer\">Read More<\/a>\n\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t<\/article>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<article class=\"uagb-post__inner-wrap\">\t\t\t\t\t\t\t\t<h4 class=\"uagb-post__title uagb-post__text\">\n\t\t\t\t<a href=\"https:\/\/zyrastory.com\/en\/coding-en\/leetcode-en\/leetcode-118-pascals-triangle-solution-explanation\/\" target=\"_self\" rel=\"bookmark noopener noreferrer\">LeetCode #118 Pascal&#8217;s Triangle Solution &#038; Explanation<\/a>\n\t\t\t<\/h4>\n\t\t\t\t\t\t<div class='uagb-post__text uagb-post-grid-byline'>\n\t\t\t\t\t\t\t\t<time datetime=\"2022-06-03T16:49:07+08:00\" class=\"uagb-post__date\">\n\t\t\t\t<span class=\"dashicons-calendar dashicons\"><\/span>\t\t\t\t\t2022-06-03\t\t\t\t<\/time>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<div class=\"uagb-post__text uagb-post__cta wp-block-button\">\n\t\t\t\t<a class=\"wp-block-button__link uagb-text-link\" href=\"https:\/\/zyrastory.com\/en\/coding-en\/leetcode-en\/leetcode-118-pascals-triangle-solution-explanation\/\" target=\"_self\" rel=\"bookmark noopener noreferrer\">Read More<\/a>\n\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t<\/article>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<article class=\"uagb-post__inner-wrap\">\t\t\t\t\t\t\t\t<h4 class=\"uagb-post__title uagb-post__text\">\n\t\t\t\t<a href=\"https:\/\/zyrastory.com\/en\/coding-en\/leetcode-en\/leetcode-283-move-zeroes-solution-and-explanation-en\/\" target=\"_self\" rel=\"bookmark noopener noreferrer\">LeetCode #283 Move Zeroes Solution &#038; Explanation<\/a>\n\t\t\t<\/h4>\n\t\t\t\t\t\t<div class='uagb-post__text uagb-post-grid-byline'>\n\t\t\t\t\t\t\t\t<time datetime=\"2024-03-11T21:52:34+08:00\" class=\"uagb-post__date\">\n\t\t\t\t<span class=\"dashicons-calendar dashicons\"><\/span>\t\t\t\t\t2024-03-11\t\t\t\t<\/time>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<div class=\"uagb-post__text uagb-post__cta wp-block-button\">\n\t\t\t\t<a class=\"wp-block-button__link uagb-text-link\" href=\"https:\/\/zyrastory.com\/en\/coding-en\/leetcode-en\/leetcode-283-move-zeroes-solution-and-explanation-en\/\" target=\"_self\" rel=\"bookmark noopener noreferrer\">Read More<\/a>\n\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t<\/article>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<article class=\"uagb-post__inner-wrap\">\t\t\t\t\t\t\t\t<h4 class=\"uagb-post__title uagb-post__text\">\n\t\t\t\t<a href=\"https:\/\/zyrastory.com\/en\/coding-en\/leetcode-en\/leetcode-300-longest-increasing-subsequence-solution-and-explanation-en\/\" target=\"_self\" rel=\"bookmark noopener noreferrer\">LeetCode #300\u00a0Longest Increasing Subsequence Solution &#038; 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