mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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187 lines
21 KiB
JSON
187 lines
21 KiB
JSON
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"questionId": "3584",
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"title": "Find the Lexicographically Smallest Valid Sequence",
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"content": "<p>You are given two strings <code>word1</code> and <code>word2</code>.</p>\n\n<p>A string <code>x</code> is called <strong>almost equal</strong> to <code>y</code> if you can change <strong>at most</strong> one character in <code>x</code> to make it <em>identical</em> to <code>y</code>.</p>\n\n<p>A sequence of indices <code>seq</code> is called <strong>valid</strong> if:</p>\n\n<ul>\n\t<li>The indices are sorted in <strong>ascending</strong> order.</li>\n\t<li><em>Concatenating</em> the characters at these indices in <code>word1</code> in <strong>the same</strong> order results in a string that is <strong>almost equal</strong> to <code>word2</code>.</li>\n</ul>\n\n<p>Return an array of size <code>word2.length</code> representing the <span data-keyword=\"lexicographically-smaller-array\">lexicographically smallest</span> <strong>valid</strong> sequence of indices. If no such sequence of indices exists, return an <strong>empty</strong> array.</p>\n\n<p><strong>Note</strong> that the answer must represent the <em>lexicographically smallest array</em>, <strong>not</strong> the corresponding string formed by those indices.<!-- notionvc: 2ff8e782-bd6f-4813-a421-ec25f7e84c1e --></p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">word1 = "vbcca", word2 = "abc"</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">[0,1,2]</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>The lexicographically smallest valid sequence of indices is <code>[0, 1, 2]</code>:</p>\n\n<ul>\n\t<li>Change <code>word1[0]</code> to <code>'a'</code>.</li>\n\t<li><code>word1[1]</code> is already <code>'b'</code>.</li>\n\t<li><code>word1[2]</code> is already <code>'c'</code>.</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">word1 = "bacdc", word2 = "abc"</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">[1,2,4]</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>The lexicographically smallest valid sequence of indices is <code>[1, 2, 4]</code>:</p>\n\n<ul>\n\t<li><code>word1[1]</code> is already <code>'a'</code>.</li>\n\t<li>Change <code>word1[2]</code> to <code>'b'</code>.</li>\n\t<li><code>word1[4]</code> is already <code>'c'</code>.</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">word1 = "aaaaaa", word2 = "aaabc"</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">[]</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>There is no valid sequence of indices.</p>\n</div>\n\n<p><strong class=\"example\">Example 4:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">word1 = "abc", word2 = "ab"</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">[0,1]</span></p>\n</div>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= word2.length < word1.length <= 3 * 10<sup>5</sup></code></li>\n\t<li><code>word1</code> and <code>word2</code> consist only of lowercase English letters.</li>\n</ul>\n",
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"exampleTestcases": "\"vbcca\"\n\"abc\"\n\"bacdc\"\n\"abc\"\n\"aaaaaa\"\n\"aaabc\"\n\"abc\"\n\"ab\"",
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"Let <code>dp[i]</code> be the longest suffix of <code>word2</code> that exists as a subsequence of suffix of the substring of <code>word1</code> starting at index <code>i</code>.",
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"If <code>dp[i + 1] < m</code> and <code>word1[i] == word2[m - dp[i + 1] - 1]</code>,<code>dp[i] = dp[i + 1] + 1</code>. Otherwise, <code>dp[i] = dp[i + 1]</code>.",
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"For each index <code>i</code>, greedily select characters using the <code>dp</code> array to know whether a solution exists."
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