leetcode-problemset/leetcode-cn/originData/longest-common-subsequence.json

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        "question": {
            "questionId": "1250",
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            "categoryTitle": "Algorithms",
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            "title": "Longest Common Subsequence",
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            "content": "<p>Given two strings <code>text1</code> and <code>text2</code>, return <em>the length of their longest <strong>common subsequence</strong>. </em>If there is no <strong>common subsequence</strong>, return <code>0</code>.</p>\n\n<p>A <strong>subsequence</strong> of a string is a new string generated from the original string with some characters (can be none) deleted without changing the relative order of the remaining characters.</p>\n\n<ul>\n\t<li>For example, <code>&quot;ace&quot;</code> is a subsequence of <code>&quot;abcde&quot;</code>.</li>\n</ul>\n\n<p>A <strong>common subsequence</strong> of two strings is a subsequence that is common to both strings.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> text1 = &quot;abcde&quot;, text2 = &quot;ace&quot; \n<strong>Output:</strong> 3  \n<strong>Explanation:</strong> The longest common subsequence is &quot;ace&quot; and its length is 3.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> text1 = &quot;abc&quot;, text2 = &quot;abc&quot;\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> The longest common subsequence is &quot;abc&quot; and its length is 3.\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> text1 = &quot;abc&quot;, text2 = &quot;def&quot;\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> There is no such common subsequence, so the result is 0.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= text1.length, text2.length &lt;= 1000</code></li>\n\t<li><code>text1</code> and <code>text2</code> consist of only lowercase English characters.</li>\n</ul>\n",
            "translatedTitle": "最长公共子序列",
            "translatedContent": "<p>给定两个字符串 <code>text1</code> 和 <code>text2</code>，返回这两个字符串的最长 <strong>公共子序列</strong> 的长度。如果不存在 <strong>公共子序列</strong> ，返回 <code>0</code> 。</p>\n\n<p>一个字符串的 <strong>子序列</strong><em> </em>是指这样一个新的字符串：它是由原字符串在不改变字符的相对顺序的情况下删除某些字符（也可以不删除任何字符）后组成的新字符串。</p>\n\n<ul>\n\t<li>例如，<code>\"ace\"</code> 是 <code>\"abcde\"</code> 的子序列，但 <code>\"aec\"</code> 不是 <code>\"abcde\"</code> 的子序列。</li>\n</ul>\n\n<p>两个字符串的 <strong>公共子序列</strong> 是这两个字符串所共同拥有的子序列。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>text1 = \"abcde\", text2 = \"ace\" \n<strong>输出：</strong>3  \n<strong>解释：</strong>最长公共子序列是 \"ace\" ，它的长度为 3 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>text1 = \"abc\", text2 = \"abc\"\n<strong>输出：</strong>3\n<strong>解释：</strong>最长公共子序列是 \"abc\" ，它的长度为 3 。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<strong>输入：</strong>text1 = \"abc\", text2 = \"def\"\n<strong>输出：</strong>0\n<strong>解释：</strong>两个字符串没有公共子序列，返回 0 。\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 <= text1.length, text2.length <= 1000</code></li>\n\t<li><code>text1</code> 和 <code>text2</code> 仅由小写英文字符组成。</li>\n</ul>\n",
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                    "code": "class Solution(object):\n    def longestCommonSubsequence(self, text1, text2):\n        \"\"\"\n        :type text1: str\n        :type text2: str\n        :rtype: int\n        \"\"\"",
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                "Try dynamic programming. \r\nDP[i][j] represents the longest common subsequence of text1[0 ... i] & text2[0 ... j].",
                "DP[i][j] = DP[i - 1][j - 1] + 1 , if text1[i] == text2[j]\r\nDP[i][j] = max(DP[i - 1][j], DP[i][j - 1]) , otherwise"
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