mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
synced 2025-01-11 02:58:13 +08:00
177 lines
22 KiB
JSON
177 lines
22 KiB
JSON
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"categoryTitle": "Algorithms",
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"boundTopicId": 1343513,
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"title": "Maximize Number of Subsequences in a String",
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"content": "<p>You are given a <strong>0-indexed</strong> string <code>text</code> and another <strong>0-indexed</strong> string <code>pattern</code> of length <code>2</code>, both of which consist of only lowercase English letters.</p>\n\n<p>You can add <strong>either</strong> <code>pattern[0]</code> <strong>or</strong> <code>pattern[1]</code> anywhere in <code>text</code> <strong>exactly once</strong>. Note that the character can be added even at the beginning or at the end of <code>text</code>.</p>\n\n<p>Return <em>the <strong>maximum</strong> number of times</em> <code>pattern</code> <em>can occur as a <strong>subsequence</strong> of the modified </em><code>text</code>.</p>\n\n<p>A <b>subsequence</b> is a string that can be derived from another string by deleting some or no characters without changing the order of the remaining characters.</p>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> text = "abdcdbc", pattern = "ac"\n<strong>Output:</strong> 4\n<strong>Explanation:</strong>\nIf we add pattern[0] = 'a' in between text[1] and text[2], we get "ab<u><strong>a</strong></u>dcdbc". Now, the number of times "ac" occurs as a subsequence is 4.\nSome other strings which have 4 subsequences "ac" after adding a character to text are "<u><strong>a</strong></u>abdcdbc" and "abd<u><strong>a</strong></u>cdbc".\nHowever, strings such as "abdc<u><strong>a</strong></u>dbc", "abd<u><strong>c</strong></u>cdbc", and "abdcdbc<u><strong>c</strong></u>", although obtainable, have only 3 subsequences "ac" and are thus suboptimal.\nIt can be shown that it is not possible to get more than 4 subsequences "ac" by adding only one character.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> text = "aabb", pattern = "ab"\n<strong>Output:</strong> 6\n<strong>Explanation:</strong>\nSome of the strings which can be obtained from text and have 6 subsequences "ab" are "<u><strong>a</strong></u>aabb", "aa<u><strong>a</strong></u>bb", and "aab<u><strong>b</strong></u>b".\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= text.length <= 10<sup>5</sup></code></li>\n\t<li><code>pattern.length == 2</code></li>\n\t<li><code>text</code> and <code>pattern</code> consist only of lowercase English letters.</li>\n</ul>\n",
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"translatedTitle": "字符串中最多数目的子字符串",
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"translatedContent": "<p>给你一个下标从 <strong>0</strong> 开始的字符串 <code>text</code> 和另一个下标从 <strong>0</strong> 开始且长度为 <code>2</code> 的字符串 <code>pattern</code> ,两者都只包含小写英文字母。</p>\n\n<p>你可以在 <code>text</code> 中任意位置插入 <strong>一个</strong> 字符,这个插入的字符必须是 <code>pattern[0]</code> <b>或者</b> <code>pattern[1]</code> 。注意,这个字符可以插入在 <code>text</code> 开头或者结尾的位置。</p>\n\n<p>请你返回插入一个字符后,<code>text</code> 中最多包含多少个等于 <code>pattern</code> 的 <strong>子序列</strong> 。</p>\n\n<p><strong>子序列</strong> 指的是将一个字符串删除若干个字符后(也可以不删除),剩余字符保持原本顺序得到的字符串。</p>\n\n<p> </p>\n\n<p><strong>示例 1:</strong></p>\n\n<pre>\n<b>输入:</b>text = \"abdcdbc\", pattern = \"ac\"\n<b>输出:</b>4\n<strong>解释:</strong>\n如果我们在 text[1] 和 text[2] 之间添加 pattern[0] = 'a' ,那么我们得到 \"ab<em><strong>a</strong></em>dcdbc\" 。那么 \"ac\" 作为子序列出现 4 次。\n其他得到 4 个 \"ac\" 子序列的方案还有 \"<em><strong>a</strong></em>abdcdbc\" 和 \"abd<em><strong>a</strong></em>cdbc\" 。\n但是,\"abdc<em><strong>a</strong></em>dbc\" ,\"abd<em><strong>c</strong></em>cdbc\" 和 \"abdcdbc<em><strong>c</strong></em>\" 这些字符串虽然是可行的插入方案,但是只出现了 3 次 \"ac\" 子序列,所以不是最优解。\n可以证明插入一个字符后,无法得到超过 4 个 \"ac\" 子序列。\n</pre>\n\n<p><strong>示例 2:</strong></p>\n\n<pre>\n<b>输入:</b>text = \"aabb\", pattern = \"ab\"\n<b>输出:</b>6\n<strong>解释:</strong>\n可以得到 6 个 \"ab\" 子序列的部分方案为 \"<em><strong>a</strong></em>aabb\" ,\"aa<em><strong>a</strong></em>bb\" 和 \"aab<em><strong>b</strong></em>b\" 。\n</pre>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 <= text.length <= 10<sup>5</sup></code></li>\n\t<li><code>pattern.length == 2</code></li>\n\t<li><code>text</code> 和 <code>pattern</code> 都只包含小写英文字母。</li>\n</ul>\n",
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"Find the optimal position to add pattern[0] so that the number of subsequences is maximized. Similarly, find the optimal position to add pattern[1].",
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"For each of the above cases, count the number of times the pattern occurs as a subsequence in text. The larger count is the required answer."
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